53952668181504 has 297 divisors, whose sum is σ = 164458865084787. Its totient is φ = 17033453826048.

The previous prime is 53952668181493. The next prime is 53952668181509. The reversal of 53952668181504 is 40518186625935.

The square root of 53952668181504 is 7345248.

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

53952668181504 is a `hidden beast` number, since 5 + 3 + 9 + 52 + 6 + 68 + 18 + 1 + 504 = 666.

It is not an unprimeable number, because it can be changed into a prime (53952668181509) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13397730339 + ... + 13397734365.

Almost surely, 2^{53952668181504} is an apocalyptic number.

53952668181504 is the 7345248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53952668181504

53952668181504 is an abundant number, since it is smaller than the sum of its proper divisors (110506196903283).

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

53952668181504 is an frugal number, since it uses more digits than its factorization.

53952668181504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 53952668181504 in words is "fifty-three trillion, nine hundred fifty-two billion, six hundred sixty-eight million, one hundred eighty-one thousand, five hundred four".