94879948363200 has 10584 divisors, whose sum is σ = 517087454641920. Its totient is φ = 16874094182400.

The previous prime is 94879948363141. The next prime is 94879948363201. The reversal of 94879948363200 is 236384997849.

94879948363200 is a `hidden beast` number, since 9 + 4 + 87 + 9 + 9 + 483 + 63 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10584).

It is a super-2 number, since 2×94879948363200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94879948363201) by changing a digit.

It is a polite number, since it can be written in 1511 ways as a sum of consecutive naturals, for example, 2018722305577 + ... + 2018722305623.

Almost surely, 2^{94879948363200} is an apocalyptic number.

94879948363200 is a gapful number since it is divisible by the number (90) 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 94879948363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258543727320960).

94879948363200 is an abundant number, since it is smaller than the sum of its proper divisors (422207506278720).

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

94879948363200 is a wasteful number, since it uses less digits than its factorization.

94879948363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 94879948363200 in words is "ninety-four trillion, eight hundred seventy-nine billion, nine hundred forty-eight million, three hundred sixty-three thousand, two hundred".