11737820160 has 880 divisors, whose sum is σ = 47936351232. Its totient is φ = 2720563200.

The previous prime is 11737820113. The next prime is 11737820167. The reversal of 11737820160 is 6102873711.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11737820167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141419479 + ... + 141419561.

Almost surely, 2^11737820160 is an apocalyptic number.

11737820160 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 11737820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23968175616).

11737820160 is an abundant number, since it is smaller than the sum of its proper divisors (36198531072).

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

11737820160 is a wasteful number, since it uses less digits than its factorization.

11737820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11737820160 in words is "eleven billion, seven hundred thirty-seven million, eight hundred twenty thousand, one hundred sixty".