62160128000 has 96 divisors (see below), whose sum is σ = 155114439480. Its totient is φ = 24863948800.

The previous prime is 62160127999. The next prime is 62160128021. The reversal of 62160128000 is 82106126.

It can be written as a sum of positive squares in 4 ways, for example, as 3897754624 + 58262373376 = 62432^2 + 241376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134594 + ... + 377406.

Almost surely, 2^62160128000 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 62160128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77557219740).

62160128000 is an abundant number, since it is smaller than the sum of its proper divisors (92954311480).

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

62160128000 is an equidigital number, since it uses as much as digits as its factorization.

62160128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242850 (or 242820 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 62160128000 in words is "sixty-two billion, one hundred sixty million, one hundred twenty-eight thousand".