257298096796416 has 864 divisors, whose sum is σ = 857105574893568. Its totient is φ = 76447281807360.

The previous prime is 257298096796399. The next prime is 257298096796421. The reversal of 257298096796416 is 614697690892752.

It is a happy number.

257298096796416 is a `hidden beast` number, since 2 + 5 + 7 + 29 + 8 + 0 + 96 + 7 + 96 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11707596820 + ... + 11707618796.

It is an arithmetic number, because the mean of its divisors is an integer number (992020341312).

Almost surely, 2^{257298096796416} is an apocalyptic number.

257298096796416 is a gapful number since it is divisible by the number (26) 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 257298096796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428552787446784).

257298096796416 is an abundant number, since it is smaller than the sum of its proper divisors (599807478097152).

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

257298096796416 is a wasteful number, since it uses less digits than its factorization.

257298096796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22519 (or 22493 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 257298096796416 in words is "two hundred fifty-seven trillion, two hundred ninety-eight billion, ninety-six million, seven hundred ninety-six thousand, four hundred sixteen".