97625472000 has 352 divisors, whose sum is σ = 371140423680. Its totient is φ = 22313779200.

The previous prime is 97625471971. The next prime is 97625472011. The reversal of 97625472000 is 27452679.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2669841 + ... + 2706159.

Almost surely, 2^97625472000 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 97625472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185570211840).

97625472000 is an abundant number, since it is smaller than the sum of its proper divisors (273514951680).

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

97625472000 is a wasteful number, since it uses less digits than its factorization.

97625472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36364 (or 36336 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 97625472000 in words is "ninety-seven billion, six hundred twenty-five million, four hundred seventy-two thousand".