1187916796800 has 384 divisors, whose sum is σ = 4350829788000. Its totient is φ = 316531261440.

The previous prime is 1187916796799. The next prime is 1187916796811. The reversal of 1187916796800 is 86976197811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1187916796800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128990596 + ... + 128999804.

Almost surely, 2^{1187916796800} is an apocalyptic number.

1187916796800 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 1187916796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175414894000).

1187916796800 is an abundant number, since it is smaller than the sum of its proper divisors (3162912991200).

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

1187916796800 is a wasteful number, since it uses less digits than its factorization.

1187916796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10735 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 1187916796800 in words is "one trillion, one hundred eighty-seven billion, nine hundred sixteen million, seven hundred ninety-six thousand, eight hundred".