11599346880 has 672 divisors, whose sum is σ = 46489559040. Its totient is φ = 2699827200.

The previous prime is 11599346851. The next prime is 11599346897. The reversal of 11599346880 is 8864399511.

11599346880 is a `hidden beast` number, since 1 + 1 + 599 + 3 + 46 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 91333377 + ... + 91333503.

Almost surely, 2^11599346880 is an apocalyptic number.

11599346880 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 11599346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23244779520).

11599346880 is an abundant number, since it is smaller than the sum of its proper divisors (34890212160).

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

11599346880 is a wasteful number, since it uses less digits than its factorization.

11599346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11599346880 in words is "eleven billion, five hundred ninety-nine million, three hundred forty-six thousand, eight hundred eighty".