8981697398400 has 384 divisors, whose sum is σ = 32880879120000. Its totient is φ = 2394364354560.

The previous prime is 8981697398381. The next prime is 8981697398423. The reversal of 8981697398400 is 48937961898.

8981697398400 is a `hidden beast` number, since 8 + 9 + 8 + 1 + 69 + 73 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307482996 + ... + 307512204.

It is an arithmetic number, because the mean of its divisors is an integer number (85627289375).

Almost surely, 2^{8981697398400} is an apocalyptic number.

8981697398400 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 8981697398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16440439560000).

8981697398400 is an abundant number, since it is smaller than the sum of its proper divisors (23899181721600).

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

8981697398400 is a wasteful number, since it uses less digits than its factorization.

8981697398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32801 (or 32778 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 8981697398400 in words is "eight trillion, nine hundred eighty-one billion, six hundred ninety-seven million, three hundred ninety-eight thousand, four hundred".