52387053264 has 1200 divisors, whose sum is σ = 206896757760. Its totient is φ = 12645642240.

The previous prime is 52387053259. The next prime is 52387053269. The reversal of 52387053264 is 46235078325.

52387053264 is a `hidden beast` number, since 5 + 2 + 387 + 0 + 5 + 3 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (52387053259) and next prime (52387053269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52387053269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 588618532 + ... + 588618620.

Almost surely, 2^52387053264 is an apocalyptic number.

52387053264 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 52387053264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103448378880).

52387053264 is an abundant number, since it is smaller than the sum of its proper divisors (154509704496).

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

52387053264 is a wasteful number, since it uses less digits than its factorization.

52387053264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 52387053264 in words is "fifty-two billion, three hundred eighty-seven million, fifty-three thousand, two hundred sixty-four".