53657315712 has 1536 divisors, whose sum is σ = 228114432000. Its totient is φ = 11645337600.

The previous prime is 53657315669. The next prime is 53657315759. The reversal of 53657315712 is 21751375635.

53657315712 is a `hidden beast` number, since 5 + 3 + 6 + 5 + 73 + 1 + 571 + 2 = 666.

Its product of digits (661500) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 679206489 + ... + 679206567.

It is an arithmetic number, because the mean of its divisors is an integer number (148512000).

Almost surely, 2^53657315712 is an apocalyptic number.

53657315712 is a gapful number since it is divisible by the number (52) 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 53657315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114057216000).

53657315712 is an abundant number, since it is smaller than the sum of its proper divisors (174457116288).

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

53657315712 is a wasteful number, since it uses less digits than its factorization.

53657315712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its digits is 661500, while the sum is 45.

The spelling of 53657315712 in words is "fifty-three billion, six hundred fifty-seven million, three hundred fifteen thousand, seven hundred twelve".