257136770340 has 288 divisors, whose sum is σ = 821369203200. Its totient is φ = 64989112320.

The previous prime is 257136770339. The next prime is 257136770347. The reversal of 257136770340 is 43077631752.

257136770340 is a `hidden beast` number, since 2 + 571 + 3 + 6 + 7 + 70 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×257136770340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (257136770347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306479641 + ... + 306480479.

It is an arithmetic number, because the mean of its divisors is an integer number (2851976400).

Almost surely, 2^257136770340 is an apocalyptic number.

257136770340 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 257136770340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410684601600).

257136770340 is an abundant number, since it is smaller than the sum of its proper divisors (564232432860).

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

257136770340 is a wasteful number, since it uses less digits than its factorization.

257136770340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 257136770340 in words is "two hundred fifty-seven billion, one hundred thirty-six million, seven hundred seventy thousand, three hundred forty".