60057726144 has 112 divisors (see below), whose sum is σ = 171198101088. Its totient is φ = 18471518208.

The previous prime is 60057726137. The next prime is 60057726161. The reversal of 60057726144 is 44162775006.

It is a super-2 number, since 2×60057726144² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60057726096 and 60057726105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9474144 + ... + 9480480.

It is an arithmetic number, because the mean of its divisors is an integer number (1528554474).

Almost surely, 2^60057726144 is an apocalyptic number.

60057726144 is a gapful number since it is divisible by the number (64) 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 60057726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85599050544).

60057726144 is an abundant number, since it is smaller than the sum of its proper divisors (111140374944).

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

60057726144 is a wasteful number, since it uses less digits than its factorization.

60057726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10162 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 60057726144 in words is "sixty billion, fifty-seven million, seven hundred twenty-six thousand, one hundred forty-four".