97427839824000 has 512 divisors, whose sum is σ = 410124824179200. Its totient is φ = 22269219840000.

The previous prime is 97427839823971. The next prime is 97427839824043. The reversal of 97427839824000 is 42893872479.

97427839824000 is a `hidden beast` number, since 9 + 7 + 427 + 83 + 98 + 2 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13085101 + ... + 19133100.

It is an arithmetic number, because the mean of its divisors is an integer number (801025047225).

Almost surely, 2^{97427839824000} is an apocalyptic number.

97427839824000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97427839824000 is an abundant number, since it is smaller than the sum of its proper divisors (312696984355200).

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

97427839824000 is a wasteful number, since it uses less digits than its factorization.

97427839824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32218246 (or 32218218 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 97427839824000 in words is "ninety-seven trillion, four hundred twenty-seven billion, eight hundred thirty-nine million, eight hundred twenty-four thousand".