11407612979880 has 1536 divisors, whose sum is σ = 45285806592000. Its totient is φ = 2541616496640.

The previous prime is 11407612979821. The next prime is 11407612979891. The reversal of 11407612979880 is 8897921670411.

11407612979880 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 7 + 612 + 9 + 7 + 9 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22411813066 + ... + 22411813574.

It is an arithmetic number, because the mean of its divisors is an integer number (29482947000).

Almost surely, 2^{11407612979880} is an apocalyptic number.

11407612979880 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 11407612979880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22642903296000).

11407612979880 is an abundant number, since it is smaller than the sum of its proper divisors (33878193612120).

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

11407612979880 is a wasteful number, since it uses less digits than its factorization.

11407612979880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 11407612979880 in words is "eleven trillion, four hundred seven billion, six hundred twelve million, nine hundred seventy-nine thousand, eight hundred eighty".