84925169280 has 960 divisors, whose sum is σ = 358781940000. Its totient is φ = 19083423744.

The previous prime is 84925169279. The next prime is 84925169293. The reversal of 84925169280 is 8296152948.

It is a happy number.

84925169280 is a `hidden beast` number, since 8 + 49 + 2 + 516 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170190471 + ... + 170190969.

Almost surely, 2^84925169280 is an apocalyptic number.

84925169280 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 84925169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179390970000).

84925169280 is an abundant number, since it is smaller than the sum of its proper divisors (273856770720).

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

84925169280 is a wasteful number, since it uses less digits than its factorization.

84925169280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 84925169280 in words is "eighty-four billion, nine hundred twenty-five million, one hundred sixty-nine thousand, two hundred eighty".