11862178876800 has 2160 divisors, whose sum is σ = 51975536673060. Its totient is φ = 2656281600000.

The previous prime is 11862178876789. The next prime is 11862178876927. The reversal of 11862178876800 is 867887126811.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×11862178876800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 47259676675 + ... + 47259676925.

Almost surely, 2^{11862178876800} is an apocalyptic number.

11862178876800 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 11862178876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25987768336530).

11862178876800 is an abundant number, since it is smaller than the sum of its proper divisors (40113357796260).

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

11862178876800 is an equidigital number, since it uses as much as digits as its factorization.

11862178876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 11862178876800 in words is "eleven trillion, eight hundred sixty-two billion, one hundred seventy-eight million, eight hundred seventy-six thousand, eight hundred".