52761477384 has 320 divisors, whose sum is σ = 184610764800. Its totient is φ = 13677206400.

The previous prime is 52761477367. The next prime is 52761477407. The reversal of 52761477384 is 48377416725.

52761477384 is a `hidden beast` number, since 52 + 76 + 147 + 7 + 384 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52761477384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42860049 + ... + 42861279.

It is an arithmetic number, because the mean of its divisors is an integer number (576908640).

Almost surely, 2^52761477384 is an apocalyptic number.

52761477384 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 52761477384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92305382400).

52761477384 is an abundant number, since it is smaller than the sum of its proper divisors (131849287416).

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

52761477384 is a wasteful number, since it uses less digits than its factorization.

52761477384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2113 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 52761477384 in words is "fifty-two billion, seven hundred sixty-one million, four hundred seventy-seven thousand, three hundred eighty-four".