97235292672000 has 3120 divisors, whose sum is σ = 429367363064640. Its totient is φ = 21821571072000.

The previous prime is 97235292671989. The next prime is 97235292672061. The reversal of 97235292672000 is 27629253279.

97235292672000 is a `hidden beast` number, since 9 + 7 + 2 + 352 + 9 + 267 + 20 + 0 + 0 = 666.

It is a super-3 number, since 3×97235292672000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 119895551595 + ... + 119895552405.

It is an arithmetic number, because the mean of its divisors is an integer number (137617744572).

Almost surely, 2^{97235292672000} is an apocalyptic number.

97235292672000 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 97235292672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214683681532320).

97235292672000 is an abundant number, since it is smaller than the sum of its proper divisors (332132070392640).

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

97235292672000 is an equidigital number, since it uses as much as digits as its factorization.

97235292672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 97235292672000 in words is "ninety-seven trillion, two hundred thirty-five billion, two hundred ninety-two million, six hundred seventy-two thousand".