11579994000 has 480 divisors, whose sum is σ = 42838758144. Its totient is φ = 2909491200.

The previous prime is 11579993969. The next prime is 11579994029. The reversal of 11579994000 is 49997511.

11579994000 is a `hidden beast` number, since 1 + 157 + 9 + 99 + 400 + 0 = 666.

It is a super-2 number, since 2×11579994000² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 34361832 + ... + 34362168.

Almost surely, 2^11579994000 is an apocalyptic number.

11579994000 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 11579994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21419379072).

11579994000 is an abundant number, since it is smaller than the sum of its proper divisors (31258764144).

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

11579994000 is a wasteful number, since it uses less digits than its factorization.

11579994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 11579994000 in words is "eleven billion, five hundred seventy-nine million, nine hundred ninety-four thousand".