52091259264 has 384 divisors, whose sum is σ = 169007398560. Its totient is φ = 15261696000.

The previous prime is 52091259247. The next prime is 52091259271. The reversal of 52091259264 is 46295219025.

52091259264 is a `hidden beast` number, since 52 + 0 + 9 + 1 + 2 + 592 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 112995994 + ... + 112996454.

Almost surely, 2^52091259264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52091259264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84503699280).

52091259264 is an abundant number, since it is smaller than the sum of its proper divisors (116916139296).

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

52091259264 is a wasteful number, since it uses less digits than its factorization.

52091259264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 52091259264 in words is "fifty-two billion, ninety-one million, two hundred fifty-nine thousand, two hundred sixty-four".