60021080064 has 459 divisors, whose sum is σ = 197387552089. Its totient is φ = 17561026560.

The previous prime is 60021080057. The next prime is 60021080087. The reversal of 60021080064 is 46008012006.

The square root of 60021080064 is 244992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31473598464 + 28547481600 = 177408^2 + 168960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2069692402 + ... + 2069692430.

Almost surely, 2^60021080064 is an apocalyptic number.

60021080064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

60021080064 is the 244992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60021080064

60021080064 is an abundant number, since it is smaller than the sum of its proper divisors (137366472025).

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

60021080064 is an equidigital number, since it uses as much as digits as its factorization.

60021080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 60021080064 by its product of nonzero digits (2304), we get a square (138288568467456 = 11759616²).

60021080064 divided by its product of nonzero digits (2304) gives a square (26050816 = 5104²).

The spelling of 60021080064 in words is "sixty billion, twenty-one million, eighty thousand, sixty-four".