84951893880000 has 2100 divisors, whose sum is σ = 366092642885640. Its totient is φ = 19310296320000.

The previous prime is 84951893879981. The next prime is 84951893880001. The reversal of 84951893880000 is 8839815948.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

84951893880000 is a `hidden beast` number, since 8 + 4 + 9 + 518 + 9 + 38 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 84951893880000 = 140³ + 43960³ = 8652³ + 43848³.

It is a self number, because there is not a number n which added to its sum of digits gives 84951893880000.

It is not an unprimeable number, because it can be changed into a prime (84951893880001) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 469347479910 + ... + 469347480090.

Almost surely, 2^{84951893880000} is an apocalyptic number.

84951893880000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84951893880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183046321442820).

84951893880000 is an abundant number, since it is smaller than the sum of its proper divisors (281140749005640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84951893880000 is an frugal number, since it uses more digits than its factorization.

84951893880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 84951893880000 in words is "eighty-four trillion, nine hundred fifty-one billion, eight hundred ninety-three million, eight hundred eighty thousand".