656871655440 has 1280 divisors, whose sum is σ = 2843082031104. Its totient is φ = 121031884800.

The previous prime is 656871655411. The next prime is 656871655459. The reversal of 656871655440 is 44556178656.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1437355692 + ... + 1437356148.

Almost surely, 2^656871655440 is an apocalyptic number.

656871655440 is a gapful number since it is divisible by the number (60) 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 656871655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421541015552).

656871655440 is an abundant number, since it is smaller than the sum of its proper divisors (2186210375664).

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

656871655440 is a wasteful number, since it uses less digits than its factorization.

656871655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 656871655440 in words is "six hundred fifty-six billion, eight hundred seventy-one million, six hundred fifty-five thousand, four hundred forty".