11379002115600 has 840 divisors, whose sum is σ = 46883608929600. Its totient is φ = 2599894402560.

The previous prime is 11379002115587. The next prime is 11379002115641. The reversal of 11379002115600 is 651120097311.

It is a happy number.

11379002115600 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 90 + 0 + 2 + 1 + 1 + 560 + 0 = 666.

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

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 167 ways as a sum of consecutive naturals, for example, 4464103126 + ... + 4464105674.

Almost surely, 2^{11379002115600} is an apocalyptic number.

11379002115600 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 11379002115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23441804464800).

11379002115600 is an abundant number, since it is smaller than the sum of its proper divisors (35504606814000).

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

11379002115600 is an frugal number, since it uses more digits than its factorization.

11379002115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 11379002115600 in words is "eleven trillion, three hundred seventy-nine billion, two million, one hundred fifteen thousand, six hundred".