97295879332080 has 2160 divisors, whose sum is σ = 414173555651232. Its totient is φ = 20282296320000.

The previous prime is 97295879332031. The next prime is 97295879332081. The reversal of 97295879332080 is 8023397859279.

97295879332080 is a `hidden beast` number, since 9 + 7 + 2 + 9 + 587 + 9 + 3 + 32 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97295879332081) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 29474666430 + ... + 29474669730.

Almost surely, 2^{97295879332080} is an apocalyptic number.

97295879332080 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 97295879332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207086777825616).

97295879332080 is an abundant number, since it is smaller than the sum of its proper divisors (316877676319152).

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

97295879332080 is a wasteful number, since it uses less digits than its factorization.

97295879332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 97295879332080 in words is "ninety-seven trillion, two hundred ninety-five billion, eight hundred seventy-nine million, three hundred thirty-two thousand, eighty".