53578394763264 has 2352 divisors, whose sum is σ = 211247865722880. Its totient is φ = 13209037701120.

The previous prime is 53578394763239. The next prime is 53578394763323. The reversal of 53578394763264 is 46236749387535.

53578394763264 is a `hidden beast` number, since 5 + 3 + 57 + 83 + 9 + 476 + 3 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 53578394763192 and 53578394763201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1728335314929 + ... + 1728335314959.

It is an arithmetic number, because the mean of its divisors is an integer number (89816269440).

Almost surely, 2^{53578394763264} is an apocalyptic number.

53578394763264 is a gapful number since it is divisible by the number (54) 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 53578394763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105623932861440).

53578394763264 is an abundant number, since it is smaller than the sum of its proper divisors (157669470959616).

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

53578394763264 is an frugal number, since it uses more digits than its factorization.

53578394763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 79 counting only the distinct ones).

The product of its digits is 2743372800, while the sum is 72.

The spelling of 53578394763264 in words is "fifty-three trillion, five hundred seventy-eight billion, three hundred ninety-four million, seven hundred sixty-three thousand, two hundred sixty-four".