6052860172800 has 3840 divisors, whose sum is σ = 28759073587200. Its totient is φ = 1229747650560.

The previous prime is 6052860172747. The next prime is 6052860172831. The reversal of 6052860172800 is 82710682506.

6052860172800 is a `hidden beast` number, since 60 + 528 + 60 + 1 + 7 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 76618483161 + ... + 76618483239.

It is an arithmetic number, because the mean of its divisors is an integer number (7489342080).

Almost surely, 2^{6052860172800} is an apocalyptic number.

6052860172800 is a gapful number since it is divisible by the number (60) 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 6052860172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379536793600).

6052860172800 is an abundant number, since it is smaller than the sum of its proper divisors (22706213414400).

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

6052860172800 is an equidigital number, since it uses as much as digits as its factorization.

6052860172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 6052860172800 in words is "six trillion, fifty-two billion, eight hundred sixty million, one hundred seventy-two thousand, eight hundred".