11936820960 has 432 divisors, whose sum is σ = 43121057616. Its totient is φ = 3121846272.

The previous prime is 11936820953. The next prime is 11936820979. The reversal of 11936820960 is 6902863911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87130012 + ... + 87130148.

It is an arithmetic number, because the mean of its divisors is an integer number (99817263).

Almost surely, 2^11936820960 is an apocalyptic number.

11936820960 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 11936820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21560528808).

11936820960 is an abundant number, since it is smaller than the sum of its proper divisors (31184236656).

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

11936820960 is an frugal number, since it uses more digits than its factorization.

11936820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 11936820960 in words is "eleven billion, nine hundred thirty-six million, eight hundred twenty thousand, nine hundred sixty".