11850908160 has 640 divisors, whose sum is σ = 48220913664. Its totient is φ = 2415329280.

The previous prime is 11850908101. The next prime is 11850908219. The reversal of 11850908160 is 6180905811.

It is an interprime number because it is at equal distance from previous prime (11850908101) and next prime (11850908219).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21665007 + ... + 21665553.

Almost surely, 2^11850908160 is an apocalyptic number.

11850908160 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 11850908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24110456832).

11850908160 is an abundant number, since it is smaller than the sum of its proper divisors (36370005504).

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

11850908160 is a wasteful number, since it uses less digits than its factorization.

11850908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The spelling of 11850908160 in words is "eleven billion, eight hundred fifty million, nine hundred eight thousand, one hundred sixty".