97615532851200 has 4080 divisors, whose sum is σ = 455934059602560. Its totient is φ = 20098936995840.

The previous prime is 97615532851171. The next prime is 97615532851211. The reversal of 97615532851200 is 215823551679.

97615532851200 is a `hidden beast` number, since 9 + 7 + 6 + 1 + 5 + 532 + 85 + 1 + 20 + 0 = 666.

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

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, 712522137532 + ... + 712522137668.

Almost surely, 2^{97615532851200} is an apocalyptic number.

97615532851200 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 97615532851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227967029801280).

97615532851200 is an abundant number, since it is smaller than the sum of its proper divisors (358318526751360).

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

97615532851200 is a wasteful number, since it uses less digits than its factorization.

97615532851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

It can be divided in two parts, 9761553 and 2851200, that added together give a triangular number (12612753 = T₅₀₂₂).

The spelling of 97615532851200 in words is "ninety-seven trillion, six hundred fifteen billion, five hundred thirty-two million, eight hundred fifty-one thousand, two hundred".