97548165120 has 672 divisors, whose sum is σ = 384857902368. Its totient is φ = 20963131392.

The previous prime is 97548165109. The next prime is 97548165131. The reversal of 97548165120 is 2156184579.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97548165109) and next prime (97548165131).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×97548165120² (a number of 23 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 97548165120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102358564 + ... + 102359516.

Almost surely, 2^97548165120 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 97548165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192428951184).

97548165120 is an abundant number, since it is smaller than the sum of its proper divisors (287309737248).

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

97548165120 is a wasteful number, since it uses less digits than its factorization.

97548165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 97548165120 in words is "ninety-seven billion, five hundred forty-eight million, one hundred sixty-five thousand, one hundred twenty".