52149807360 has 864 divisors, whose sum is σ = 213740916480. Its totient is φ = 11494490112.

The previous prime is 52149807277. The next prime is 52149807373. The reversal of 52149807360 is 6370894125.

52149807360 is a `hidden beast` number, since 521 + 4 + 98 + 0 + 7 + 36 + 0 = 666.

It is a super-2 number, since 2×52149807360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461502664 + ... + 461502776.

It is an arithmetic number, because the mean of its divisors is an integer number (247385320).

It is a 1-persistent number, because it is pandigital, but 2⋅52149807360 = 104299614720 is not.

Almost surely, 2^52149807360 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 52149807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106870458240).

52149807360 is an abundant number, since it is smaller than the sum of its proper divisors (161591109120).

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

52149807360 is a wasteful number, since it uses less digits than its factorization.

52149807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 52149807360 in words is "fifty-two billion, one hundred forty-nine million, eight hundred seven thousand, three hundred sixty".