2572156468800 has 672 divisors, whose sum is σ = 9694564547840. Its totient is φ = 662888448000.

The previous prime is 2572156468727. The next prime is 2572156468801. The reversal of 2572156468800 is 88646512752.

2572156468800 is a `hidden beast` number, since 2 + 5 + 72 + 1 + 564 + 6 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2572156468801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241353072 + ... + 241363728.

Almost surely, 2^{2572156468800} is an apocalyptic number.

2572156468800 is a gapful number since it is divisible by the number (20) 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 2572156468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847282273920).

2572156468800 is an abundant number, since it is smaller than the sum of its proper divisors (7122408079040).

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

2572156468800 is a wasteful number, since it uses less digits than its factorization.

2572156468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10876 (or 10855 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 2572156468800 in words is "two trillion, five hundred seventy-two billion, one hundred fifty-six million, four hundred sixty-eight thousand, eight hundred".