53967006864 has 165 divisors, whose sum is σ = 157499711443. Its totient is φ = 17913734496.

The previous prime is 53967006857. The next prime is 53967006881. The reversal of 53967006864 is 46860076935.

The square root of 53967006864 is 232308.

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

It is a super-2 number, since 2×53967006864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53967006864.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 225803257 + ... + 225803495.

Almost surely, 2^53967006864 is an apocalyptic number.

53967006864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

53967006864 is the 232308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53967006864

53967006864 is an abundant number, since it is smaller than the sum of its proper divisors (103532704579).

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

53967006864 is an frugal number, since it uses more digits than its factorization.

53967006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 53967006864 in words is "fifty-three billion, nine hundred sixty-seven million, six thousand, eight hundred sixty-four".