11745976320 has 896 divisors, whose sum is σ = 48441254400. Its totient is φ = 2675441664.

The previous prime is 11745976259. The next prime is 11745976349. The reversal of 11745976320 is 2367954711.

11745976320 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 5 + 9 + 7 + 632 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 273162219 + ... + 273162261.

It is an arithmetic number, because the mean of its divisors is an integer number (54063900).

Almost surely, 2^11745976320 is an apocalyptic number.

11745976320 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 11745976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24220627200).

11745976320 is an abundant number, since it is smaller than the sum of its proper divisors (36695278080).

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

11745976320 is a wasteful number, since it uses less digits than its factorization.

11745976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 11745976320 in words is "eleven billion, seven hundred forty-five million, nine hundred seventy-six thousand, three hundred twenty".