2656451772700 has 144 divisors (see below), whose sum is σ = 6440275795968. Its totient is φ = 942944800000.

The previous prime is 2656451772697. The next prime is 2656451772731. The reversal of 2656451772700 is 72771546562.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7719717 + ... + 8056483.

It is an arithmetic number, because the mean of its divisors is an integer number (44724137472).

Almost surely, 2^{2656451772700} is an apocalyptic number.

2656451772700 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 2656451772700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220137897984).

2656451772700 is an abundant number, since it is smaller than the sum of its proper divisors (3783824023268).

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

2656451772700 is a wasteful number, since it uses less digits than its factorization.

2656451772700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336964 (or 336957 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 52.

The spelling of 2656451772700 in words is "two trillion, six hundred fifty-six billion, four hundred fifty-one million, seven hundred seventy-two thousand, seven hundred".