256940553703680 has 4608 divisors, whose sum is σ = 1185569207746560. Its totient is φ = 51807419596800.

The previous prime is 256940553703601. The next prime is 256940553703733. The reversal of 256940553703680 is 86307355049652.

It is a happy number.

256940553703680 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 4 + 0 + 553 + 70 + 3 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1576322415279 + ... + 1576322415441.

It is an arithmetic number, because the mean of its divisors is an integer number (257284984320).

Almost surely, 2^{256940553703680} is an apocalyptic number.

256940553703680 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 256940553703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592784603873280).

256940553703680 is an abundant number, since it is smaller than the sum of its proper divisors (928628654042880).

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

256940553703680 is a wasteful number, since it uses less digits than its factorization.

256940553703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 256940553703680 in words is "two hundred fifty-six trillion, nine hundred forty billion, five hundred fifty-three million, seven hundred three thousand, six hundred eighty".