257315536432350 has 768 divisors, whose sum is σ = 804764491776000. Its totient is φ = 59884164748800.

The previous prime is 257315536432313. The next prime is 257315536432363. The reversal of 257315536432350 is 53234635513752.

257315536432350 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 1 + 553 + 6 + 4 + 32 + 3 + 50 = 666.

It is a super-2 number, since 2×257315536432350² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 85119262939 + ... + 85119265961.

It is an arithmetic number, because the mean of its divisors is an integer number (1047870432000).

Almost surely, 2^{257315536432350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257315536432350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402382245888000).

257315536432350 is an abundant number, since it is smaller than the sum of its proper divisors (547448955343650).

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

257315536432350 is a wasteful number, since it uses less digits than its factorization.

257315536432350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 54.

The spelling of 257315536432350 in words is "two hundred fifty-seven trillion, three hundred fifteen billion, five hundred thirty-six million, four hundred thirty-two thousand, three hundred fifty".