2623131272256 has 224 divisors, whose sum is σ = 7673279040000. Its totient is φ = 784209899520.

The previous prime is 2623131272213. The next prime is 2623131272291. The reversal of 2623131272256 is 6522721313262.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129533620 + ... + 129553868.

It is an arithmetic number, because the mean of its divisors is an integer number (34255710000).

Almost surely, 2^{2623131272256} 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 2623131272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836639520000).

2623131272256 is an abundant number, since it is smaller than the sum of its proper divisors (5050147767744).

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

2623131272256 is a wasteful number, since it uses less digits than its factorization.

2623131272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21097 (or 21087 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The spelling of 2623131272256 in words is "two trillion, six hundred twenty-three billion, one hundred thirty-one million, two hundred seventy-two thousand, two hundred fifty-six".