97601760039168 has 3456 divisors, whose sum is σ = 393967257255936. Its totient is φ = 22473709977600.

The previous prime is 97601760039137. The next prime is 97601760039209. The reversal of 97601760039168 is 86193006710679.

97601760039168 is a `hidden beast` number, since 9 + 7 + 6 + 0 + 1 + 7 + 600 + 3 + 9 + 16 + 8 = 666.

It is a super-2 number, since 2×97601760039168² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 768517795521 + ... + 768517795647.

It is an arithmetic number, because the mean of its divisors is an integer number (113995155456).

Almost surely, 2^{97601760039168} 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 97601760039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196983628627968).

97601760039168 is an abundant number, since it is smaller than the sum of its proper divisors (296365497216768).

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

97601760039168 is a wasteful number, since it uses less digits than its factorization.

97601760039168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 97601760039168 in words is "ninety-seven trillion, six hundred one billion, seven hundred sixty million, thirty-nine thousand, one hundred sixty-eight".