11825862048000 has 6912 divisors, whose sum is σ = 64180129628160. Its totient is φ = 2006581248000.

The previous prime is 11825862047971. The next prime is 11825862048001. The reversal of 11825862048000 is 84026852811.

11825862048000 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 586 + 20 + 48 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11825862048001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 93117023937 + ... + 93117024063.

It is an arithmetic number, because the mean of its divisors is an integer number (9285319680).

Almost surely, 2^{11825862048000} is an apocalyptic number.

11825862048000 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 11825862048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32090064814080).

11825862048000 is an abundant number, since it is smaller than the sum of its proper divisors (52354267580160).

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

11825862048000 is a wasteful number, since it uses less digits than its factorization.

11825862048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11825862048000 in words is "eleven trillion, eight hundred twenty-five billion, eight hundred sixty-two million, forty-eight thousand".