52170048000 has 1280 divisors, whose sum is σ = 232870809600. Its totient is φ = 11247206400.

The previous prime is 52170047939. The next prime is 52170048053. The reversal of 52170048000 is 84007125.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 229823887 + ... + 229824113.

It is an arithmetic number, because the mean of its divisors is an integer number (181930320).

Almost surely, 2^52170048000 is an apocalyptic number.

52170048000 is a gapful number since it is divisible by the number (50) 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 52170048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116435404800).

52170048000 is an abundant number, since it is smaller than the sum of its proper divisors (180700761600).

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

52170048000 is a wasteful number, since it uses less digits than its factorization.

52170048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 52170048000 in words is "fifty-two billion, one hundred seventy million, forty-eight thousand".