257136195370720 has 96 divisors (see below), whose sum is σ = 642670471296000. Its totient is φ = 96951430642176.

The previous prime is 257136195370679. The next prime is 257136195370753. The reversal of 257136195370720 is 27073591631752.

It is a super-2 number, since 2×257136195370720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211918344 + ... + 213128263.

It is an arithmetic number, because the mean of its divisors is an integer number (6694484076000).

Almost surely, 2^{257136195370720} is an apocalyptic number.

257136195370720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257136195370720 is an abundant number, since it is smaller than the sum of its proper divisors (385534275925280).

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

257136195370720 is a wasteful number, since it uses less digits than its factorization.

257136195370720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425046840 (or 425046832 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 58.

The spelling of 257136195370720 in words is "two hundred fifty-seven trillion, one hundred thirty-six billion, one hundred ninety-five million, three hundred seventy thousand, seven hundred twenty".