257414934357504 has 720 divisors, whose sum is σ = 945152354676816. Its totient is φ = 66692350771200.

The previous prime is 257414934357407. The next prime is 257414934357527. The reversal of 257414934357504 is 405753439414752.

257414934357504 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 1 + 4 + 93 + 4 + 35 + 7 + 504 = 666.

It is a super-2 number, since 2×257414934357504² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 985903134 + ... + 986164194.

Almost surely, 2^{257414934357504} is an apocalyptic number.

257414934357504 is a gapful number since it is divisible by the number (24) 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 257414934357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472576177338408).

257414934357504 is an abundant number, since it is smaller than the sum of its proper divisors (687737420319312).

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

257414934357504 is a wasteful number, since it uses less digits than its factorization.

257414934357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261507 (or 261481 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 257414934357504 in words is "two hundred fifty-seven trillion, four hundred fourteen billion, nine hundred thirty-four million, three hundred fifty-seven thousand, five hundred four".