97539177601152 has 960 divisors, whose sum is σ = 342786850179840. Its totient is φ = 27446896189440.

The previous prime is 97539177601139. The next prime is 97539177601199. The reversal of 97539177601152 is 25110677193579.

97539177601152 is a `hidden beast` number, since 9 + 7 + 5 + 3 + 9 + 1 + 7 + 7 + 601 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 97539177601152.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33785650653 + ... + 33785653539.

It is an arithmetic number, because the mean of its divisors is an integer number (357069635604).

Almost surely, 2^{97539177601152} 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 97539177601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171393425089920).

97539177601152 is an abundant number, since it is smaller than the sum of its proper divisors (245247672578688).

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

97539177601152 is a wasteful number, since it uses less digits than its factorization.

97539177601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 25004700, while the sum is 63.

The spelling of 97539177601152 in words is "ninety-seven trillion, five hundred thirty-nine billion, one hundred seventy-seven million, six hundred one thousand, one hundred fifty-two".