11840049579600 has 1200 divisors, whose sum is σ = 47062660296960. Its totient is φ = 2826864230400.

The previous prime is 11840049579599. The next prime is 11840049579647. The reversal of 11840049579600 is 697594004811.

11840049579600 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 0 + 0 + 4 + 9 + 579 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×11840049579600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8262420484 + ... + 8262421916.

Almost surely, 2^{11840049579600} is an apocalyptic number.

11840049579600 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 11840049579600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23531330148480).

11840049579600 is an abundant number, since it is smaller than the sum of its proper divisors (35222610717360).

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

11840049579600 is a wasteful number, since it uses less digits than its factorization.

11840049579600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11840049579600 in words is "eleven trillion, eight hundred forty billion, forty-nine million, five hundred seventy-nine thousand, six hundred".