11107923422400 has 2688 divisors, whose sum is σ = 49461519974400. Its totient is φ = 2371767091200.

The previous prime is 11107923422377. The next prime is 11107923422413. The reversal of 11107923422400 is 422432970111.

11107923422400 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 79 + 2 + 342 + 240 + 0 = 666.

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

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, 39250612659 + ... + 39250612941.

Almost surely, 2^{11107923422400} is an apocalyptic number.

11107923422400 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 11107923422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730759987200).

11107923422400 is an abundant number, since it is smaller than the sum of its proper divisors (38353596552000).

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

11107923422400 is a wasteful number, since it uses less digits than its factorization.

11107923422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11107923422400 in words is "eleven trillion, one hundred seven billion, nine hundred twenty-three million, four hundred twenty-two thousand, four hundred".