2525557164624 has 480 divisors, whose sum is σ = 8139335160320. Its totient is φ = 724572905472.

The previous prime is 2525557164623. The next prime is 2525557164671. The reversal of 2525557164624 is 4264617555252.

2525557164624 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 5 + 5 + 7 + 1 + 6 + 4 + 624 = 666.

It is a super-2 number, since 2×2525557164624² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525557164623) 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, 1903207449 + ... + 1903208775.

Almost surely, 2^{2525557164624} is an apocalyptic number.

2525557164624 is a gapful number since it is divisible by the number (24) 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 2525557164624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069667580160).

2525557164624 is an abundant number, since it is smaller than the sum of its proper divisors (5613777995696).

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

2525557164624 is a wasteful number, since it uses less digits than its factorization.

2525557164624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2170 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 54.

The spelling of 2525557164624 in words is "two trillion, five hundred twenty-five billion, five hundred fifty-seven million, one hundred sixty-four thousand, six hundred twenty-four".