11257877631 has 192 divisors, whose sum is σ = 21337745408. Its totient is φ = 5132160000.

The previous prime is 11257877627. The next prime is 11257877651. The reversal of 11257877631 is 13677875211.

It is not a de Polignac number, because 11257877631 - 2² = 11257877627 is a prime.

It is a super-2 number, since 2×11257877631² (a number of 21 digits) contains 22 as substring.

Its product of digits (493920) is a multiple of the sum of its prime factors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257877651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74555406 + ... + 74555556.

Almost surely, 2^11257877631 is an apocalyptic number.

11257877631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11257877631 is a deficient number, since it is larger than the sum of its proper divisors (10079867777).

11257877631 is a wasteful number, since it uses less digits than its factorization.

11257877631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its digits is 493920, while the sum is 48.

It can be divided in two parts, 11257 and 877631, that added together give a palindrome (888888).

The spelling of 11257877631 in words is "eleven billion, two hundred fifty-seven million, eight hundred seventy-seven thousand, six hundred thirty-one".