52671900456 has 512 divisors, whose sum is σ = 176647680000. Its totient is φ = 14711336640.

The previous prime is 52671900439. The next prime is 52671900481. The reversal of 52671900456 is 65400917625.

52671900456 is a `hidden beast` number, since 5 + 2 + 6 + 7 + 190 + 0 + 456 = 666.

52671900456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 402075511 + ... + 402075641.

It is an arithmetic number, because the mean of its divisors is an integer number (345015000).

Almost surely, 2^52671900456 is an apocalyptic number.

52671900456 is a gapful number since it is divisible by the number (56) 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 52671900456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88323840000).

52671900456 is an abundant number, since it is smaller than the sum of its proper divisors (123975779544).

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

52671900456 is an equidigital number, since it uses as much as digits as its factorization.

52671900456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 52671900456 in words is "fifty-two billion, six hundred seventy-one million, nine hundred thousand, four hundred fifty-six".