11415934080 has 192 divisors, whose sum is σ = 41135065920. Its totient is φ = 2911856640.

The previous prime is 11415934069. The next prime is 11415934133. The reversal of 11415934080 is 8043951411.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 89395 + ... + 175565.

It is an arithmetic number, because the mean of its divisors is an integer number (214245135).

Almost surely, 2^11415934080 is an apocalyptic number.

11415934080 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 11415934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20567532960).

11415934080 is an abundant number, since it is smaller than the sum of its proper divisors (29719131840).

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

11415934080 is a wasteful number, since it uses less digits than its factorization.

11415934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86219 (or 86204 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11415934080 in words is "eleven billion, four hundred fifteen million, nine hundred thirty-four thousand, eighty".