11854080000 has 960 divisors, whose sum is σ = 51171120000. Its totient is φ = 2709504000.

The previous prime is 11854079953. The next prime is 11854080013. The reversal of 11854080000 is 8045811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11854080000 is a `hidden beast` number, since 118 + 540 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1693439997 + ... + 1693440003.

It is an arithmetic number, because the mean of its divisors is an integer number (53303250).

Almost surely, 2^11854080000 is an apocalyptic number.

11854080000 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 11854080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25585560000).

11854080000 is an abundant number, since it is smaller than the sum of its proper divisors (39317040000).

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

11854080000 is an frugal number, since it uses more digits than its factorization.

11854080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

11854080000 divided by its product of nonzero digits (1280) gives a cube (9261000 = 210³).

The spelling of 11854080000 in words is "eleven billion, eight hundred fifty-four million, eighty thousand".