2656897351680 has 1920 divisors, whose sum is σ = 11034373754880. Its totient is φ = 535654563840.

The previous prime is 2656897351621. The next prime is 2656897351727. The reversal of 2656897351680 is 861537986562.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15357788074 + ... + 15357788246.

It is an arithmetic number, because the mean of its divisors is an integer number (5747069664).

Almost surely, 2^{2656897351680} is an apocalyptic number.

2656897351680 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 2656897351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517186877440).

2656897351680 is an abundant number, since it is smaller than the sum of its proper divisors (8377476403200).

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

2656897351680 is a wasteful number, since it uses less digits than its factorization.

2656897351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 2656897351680 in words is "two trillion, six hundred fifty-six billion, eight hundred ninety-seven million, three hundred fifty-one thousand, six hundred eighty".