257092689630 has 128 divisors (see below), whose sum is σ = 747341033472. Its totient is φ = 55256076288.

The previous prime is 257092689593. The next prime is 257092689631. The reversal of 257092689630 is 36986290752.

257092689630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257092689630² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257092689631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3883467 + ... + 3949113.

It is an arithmetic number, because the mean of its divisors is an integer number (5838601824).

Almost surely, 2^257092689630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257092689630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373670516736).

257092689630 is an abundant number, since it is smaller than the sum of its proper divisors (490248343842).

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

257092689630 is a wasteful number, since it uses less digits than its factorization.

257092689630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66778.

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 257092689630 in words is "two hundred fifty-seven billion, ninety-two million, six hundred eighty-nine thousand, six hundred thirty".