11876194080 has 480 divisors, whose sum is σ = 43517694528. Its totient is φ = 3048192000.

The previous prime is 11876194079. The next prime is 11876194097. The reversal of 11876194080 is 8049167811.

It is a happy number.

11876194080 is a `hidden beast` number, since 1 + 187 + 61 + 9 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56285175 + ... + 56285385.

Almost surely, 2^11876194080 is an apocalyptic number.

11876194080 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 11876194080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21758847264).

11876194080 is an abundant number, since it is smaller than the sum of its proper divisors (31641500448).

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

11876194080 is a wasteful number, since it uses less digits than its factorization.

11876194080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 11876194080 in words is "eleven billion, eight hundred seventy-six million, one hundred ninety-four thousand, eighty".