97615898016000 has 5184 divisors, whose sum is σ = 448301070637056. Its totient is φ = 18678546432000.

The previous prime is 97615898015981. The next prime is 97615898016019. The reversal of 97615898016000 is 61089851679.

It is an interprime number because it is at equal distance from previous prime (97615898015981) and next prime (97615898016019).

It is a super-2 number, since 2×97615898016000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 418952351884 + ... + 418952352116.

It is an arithmetic number, because the mean of its divisors is an integer number (86477829984).

Almost surely, 2^{97615898016000} 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 97615898016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224150535318528).

97615898016000 is an abundant number, since it is smaller than the sum of its proper divisors (350685172621056).

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

97615898016000 is a wasteful number, since it uses less digits than its factorization.

97615898016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 97615898016000 in words is "ninety-seven trillion, six hundred fifteen billion, eight hundred ninety-eight million, sixteen thousand".