62160096000 has 576 divisors, whose sum is σ = 221776289280. Its totient is φ = 15383347200.

The previous prime is 62160095971. The next prime is 62160096007. The reversal of 62160096000 is 69006126.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62160096007) 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, 96671679 + ... + 96672321.

It is an arithmetic number, because the mean of its divisors is an integer number (385028280).

Almost surely, 2^62160096000 is an apocalyptic number.

62160096000 is a gapful number since it is divisible by the number (60) 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 62160096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110888144640).

62160096000 is an abundant number, since it is smaller than the sum of its proper divisors (159616193280).

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

62160096000 is a wasteful number, since it uses less digits than its factorization.

62160096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 62160096000 in words is "sixty-two billion, one hundred sixty million, ninety-six thousand".