97425082857672 has 448 divisors, whose sum is σ = 288037936742400. Its totient is φ = 30838001235840.

The previous prime is 97425082857607. The next prime is 97425082857677. The reversal of 97425082857672 is 27675828052479.

97425082857672 is a `hidden beast` number, since 9 + 7 + 4 + 2 + 508 + 2 + 8 + 57 + 67 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97425082857672.

It is not an unprimeable number, because it can be changed into a prime (97425082857677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6005359753 + ... + 6005375975.

Almost surely, 2^{97425082857672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97425082857672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144018968371200).

97425082857672 is an abundant number, since it is smaller than the sum of its proper divisors (190612853884728).

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

97425082857672 is a wasteful number, since it uses less digits than its factorization.

97425082857672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16900 (or 16881 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 97425082857672 in words is "ninety-seven trillion, four hundred twenty-five billion, eighty-two million, eight hundred fifty-seven thousand, six hundred seventy-two".