97180486502400 has 1728 divisors, whose sum is σ = 410720818435200. Its totient is φ = 21495262740480.

The previous prime is 97180486502347. The next prime is 97180486502453. The reversal of 97180486502400 is 420568408179.

It is a happy number.

97180486502400 is a `hidden beast` number, since 9 + 7 + 18 + 0 + 4 + 86 + 502 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97180486502347) and next prime (97180486502453).

It is a super-3 number, since 3×97180486502400³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23034007491 + ... + 23034011709.

Almost surely, 2^{97180486502400} is an apocalyptic number.

97180486502400 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 97180486502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205360409217600).

97180486502400 is an abundant number, since it is smaller than the sum of its proper divisors (313540331932800).

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

97180486502400 is a wasteful number, since it uses less digits than its factorization.

97180486502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 97180486502400 in words is "ninety-seven trillion, one hundred eighty billion, four hundred eighty-six million, five hundred two thousand, four hundred".