97616910213120 has 896 divisors, whose sum is σ = 339990668881920. Its totient is φ = 23824171008000.

The previous prime is 97616910213107. The next prime is 97616910213127. The reversal of 97616910213120 is 2131201961679.

It is a super-2 number, since 2×97616910213120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97616910213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97616910213127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73896222060 + ... + 73896223380.

It is an arithmetic number, because the mean of its divisors is an integer number (379453871520).

Almost surely, 2^{97616910213120} 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 97616910213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169995334440960).

97616910213120 is an abundant number, since it is smaller than the sum of its proper divisors (242373758668800).

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

97616910213120 is a wasteful number, since it uses less digits than its factorization.

97616910213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 97616910213120 in words is "ninety-seven trillion, six hundred sixteen billion, nine hundred ten million, two hundred thirteen thousand, one hundred twenty".