53976765752 has 320 divisors, whose sum is σ = 138535219200. Its totient is φ = 19523669760.

The previous prime is 53976765751. The next prime is 53976765761. The reversal of 53976765752 is 25756767935.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 53976765752 = 1379³ + 3717³ = 1428³ + 3710³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53976765751) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 147075473 + ... + 147075839.

It is an arithmetic number, because the mean of its divisors is an integer number (432922560).

Almost surely, 2^53976765752 is an apocalyptic number.

53976765752 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 53976765752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69267609600).

53976765752 is an abundant number, since it is smaller than the sum of its proper divisors (84558453448).

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

53976765752 is a wasteful number, since it uses less digits than its factorization.

53976765752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 439 counting only the distinct ones).

The product of its digits is 83349000, while the sum is 62.

The spelling of 53976765752 in words is "fifty-three billion, nine hundred seventy-six million, seven hundred sixty-five thousand, seven hundred fifty-two".