53162764038400 has 81 divisors (see below), whose sum is σ = 131587591457343. Its totient is φ = 21264872294400.

The previous prime is 53162764038383. The next prime is 53162764038467. The reversal of 53162764038400 is 483046726135.

The square root of 53162764038400 is 7291280.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16610776199424 + 36551987838976 = 4075632^2 + 6045824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 583256830 + ... + 583347970.

Almost surely, 2^{53162764038400} is an apocalyptic number.

53162764038400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53162764038400 is the 7291280-th square number.

It is an amenable number.

53162764038400 is an abundant number, since it is smaller than the sum of its proper divisors (78424827418943).

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

53162764038400 is an frugal number, since it uses more digits than its factorization.

53162764038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182308 (or 91148 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 53162764038400 in words is "fifty-three trillion, one hundred sixty-two billion, seven hundred sixty-four million, thirty-eight thousand, four hundred".