50152587264 has 840 divisors, whose sum is σ = 180504228240. Its totient is φ = 13759414272.

The previous prime is 50152587263. The next prime is 50152587301. The reversal of 50152587264 is 46278525105.

50152587264 is a `hidden beast` number, since 5 + 0 + 1 + 5 + 2 + 587 + 2 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50152587263) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2639609847 + ... + 2639609865.

It is an arithmetic number, because the mean of its divisors is an integer number (214885986).

Almost surely, 2^50152587264 is an apocalyptic number.

50152587264 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 50152587264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90252114120).

50152587264 is an abundant number, since it is smaller than the sum of its proper divisors (130351640976).

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

50152587264 is an equidigital number, since it uses as much as digits as its factorization.

50152587264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 50152587264 in words is "fifty billion, one hundred fifty-two million, five hundred eighty-seven thousand, two hundred sixty-four".