11859905160 has 192 divisors, whose sum is σ = 41136076800. Its totient is φ = 2952972288.

The previous prime is 11859905153. The next prime is 11859905231. The reversal of 11859905160 is 6150995811.

11859905160 is a `hidden beast` number, since 1 + 1 + 8 + 599 + 0 + 51 + 6 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 769611 + ... + 784869.

It is an arithmetic number, because the mean of its divisors is an integer number (214250400).

Almost surely, 2^11859905160 is an apocalyptic number.

11859905160 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 11859905160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568038400).

11859905160 is an abundant number, since it is smaller than the sum of its proper divisors (29276171640).

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

11859905160 is a wasteful number, since it uses less digits than its factorization.

11859905160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15420 (or 15413 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 11859905160 in words is "eleven billion, eight hundred fifty-nine million, nine hundred five thousand, one hundred sixty".