2656672766560 has 96 divisors (see below), whose sum is σ = 6411013805952. Its totient is φ = 1039883212800.

The previous prime is 2656672766551. The next prime is 2656672766581. The reversal of 2656672766560 is 656672766562.

It is a junction number, because it is equal to n+sod(n) for n = 2656672766492 and 2656672766501.

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 15 ways as a sum of consecutive naturals, for example, 50004010 + ... + 50057110.

It is an arithmetic number, because the mean of its divisors is an integer number (66781393812).

Almost surely, 2^{2656672766560} is an apocalyptic number.

2656672766560 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 2656672766560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205506902976).

2656672766560 is an abundant number, since it is smaller than the sum of its proper divisors (3754341039392).

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

2656672766560 is a wasteful number, since it uses less digits than its factorization.

2656672766560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59816 (or 59808 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 64.

The spelling of 2656672766560 in words is "two trillion, six hundred fifty-six billion, six hundred seventy-two million, seven hundred sixty-six thousand, five hundred sixty".