256516014567400 has 192 divisors, whose sum is σ = 684551929622400. Its totient is φ = 87567714877440.

The previous prime is 256516014567223. The next prime is 256516014567433. The reversal of 256516014567400 is 4765410615652.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826305411 + ... + 826615789.

It is an arithmetic number, because the mean of its divisors is an integer number (3565374633450).

Almost surely, 2^{256516014567400} is an apocalyptic number.

256516014567400 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 256516014567400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342275964811200).

256516014567400 is an abundant number, since it is smaller than the sum of its proper divisors (428035915055000).

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

256516014567400 is a wasteful number, since it uses less digits than its factorization.

256516014567400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312956 (or 312947 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 52.

The spelling of 256516014567400 in words is "two hundred fifty-six trillion, five hundred sixteen billion, fourteen million, five hundred sixty-seven thousand, four hundred".