12635117950 has 288 divisors, whose sum is σ = 31006015488. Its totient is φ = 3792096000.

The previous prime is 12635117921. The next prime is 12635117953. The reversal of 12635117950 is 5971153621.

It is a super-2 number, since 2×12635117950² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12635117953) 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 143 ways as a sum of consecutive naturals, for example, 66152355 + ... + 66152545.

It is an arithmetic number, because the mean of its divisors is an integer number (107659776).

Almost surely, 2^12635117950 is an apocalyptic number.

12635117950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12635117950 is an abundant number, since it is smaller than the sum of its proper divisors (18370897538).

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

12635117950 is a wasteful number, since it uses less digits than its factorization.

12635117950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The spelling of 12635117950 in words is "twelve billion, six hundred thirty-five million, one hundred seventeen thousand, nine hundred fifty".