10136508480 has 840 divisors, whose sum is σ = 43894052928. Its totient is φ = 2209794048.

The previous prime is 10136508479. The next prime is 10136508491. The reversal of 10136508480 is 8480563101.

10136508480 is a `hidden beast` number, since 10 + 136 + 508 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×10136508480² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29211667 + ... + 29212013.

Almost surely, 2^10136508480 is an apocalyptic number.

10136508480 is a gapful number since it is divisible by the number (10) 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 10136508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21947026464).

10136508480 is an abundant number, since it is smaller than the sum of its proper divisors (33757544448).

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

10136508480 is a wasteful number, since it uses less digits than its factorization.

10136508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10136508480 in words is "ten billion, one hundred thirty-six million, five hundred eight thousand, four hundred eighty".