2552577923136 has 224 divisors, whose sum is σ = 7297680096000. Its totient is φ = 785010688000.

The previous prime is 2552577923089. The next prime is 2552577923173. The reversal of 2552577923136 is 6313297752552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134329636 + ... + 134348636.

It is an arithmetic number, because the mean of its divisors is an integer number (32578929000).

Almost surely, 2^{2552577923136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552577923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648840048000).

2552577923136 is an abundant number, since it is smaller than the sum of its proper divisors (4745102172864).

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

2552577923136 is a wasteful number, since it uses less digits than its factorization.

2552577923136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20117 (or 20107 counting only the distinct ones).

The product of its digits is 23814000, while the sum is 57.

The spelling of 2552577923136 in words is "two trillion, five hundred fifty-two billion, five hundred seventy-seven million, nine hundred twenty-three thousand, one hundred thirty-six".