11296937686320 has 1920 divisors, whose sum is σ = 47498959872000. Its totient is φ = 2368217088000.

The previous prime is 11296937686283. The next prime is 11296937686387. The reversal of 11296937686320 is 2368673969211.

11296937686320 is a `hidden beast` number, since 1 + 129 + 69 + 376 + 8 + 63 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22639153431 + ... + 22639153929.

It is an arithmetic number, because the mean of its divisors is an integer number (24739041600).

Almost surely, 2^{11296937686320} is an apocalyptic number.

11296937686320 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 11296937686320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23749479936000).

11296937686320 is an abundant number, since it is smaller than the sum of its proper divisors (36202022185680).

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

11296937686320 is a wasteful number, since it uses less digits than its factorization.

11296937686320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 11296937686320 in words is "eleven trillion, two hundred ninety-six billion, nine hundred thirty-seven million, six hundred eighty-six thousand, three hundred twenty".