11928450374400 has 864 divisors, whose sum is σ = 47847261468160. Its totient is φ = 2556320808960.

The previous prime is 11928450374329. The next prime is 11928450374411. The reversal of 11928450374400 is 447305482911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11928450374400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247675122 + ... + 247723278.

Almost surely, 2^{11928450374400} is an apocalyptic number.

11928450374400 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 11928450374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923630734080).

11928450374400 is an abundant number, since it is smaller than the sum of its proper divisors (35918811093760).

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

11928450374400 is a wasteful number, since it uses less digits than its factorization.

11928450374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48309 (or 48290 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 11928450374400 in words is "eleven trillion, nine hundred twenty-eight billion, four hundred fifty million, three hundred seventy-four thousand, four hundred".