97371047854080 has 5760 divisors, whose sum is σ = 501254417664000. Its totient is φ = 17122826649600.

The previous prime is 97371047854009. The next prime is 97371047854133. The reversal of 97371047854080 is 8045874017379.

97371047854080 is a `hidden beast` number, since 9 + 7 + 3 + 7 + 1 + 0 + 4 + 7 + 8 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×97371047854080² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 97371047853999 and 97371047854017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3141001543665 + ... + 3141001543695.

It is an arithmetic number, because the mean of its divisors is an integer number (87023336400).

Almost surely, 2^{97371047854080} is an apocalyptic number.

97371047854080 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 97371047854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250627208832000).

97371047854080 is an abundant number, since it is smaller than the sum of its proper divisors (403883369809920).

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

97371047854080 is a wasteful number, since it uses less digits than its factorization.

97371047854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 97371047854080 in words is "ninety-seven trillion, three hundred seventy-one billion, forty-seven million, eight hundred fifty-four thousand, eighty".