1115844796800 has 576 divisors, whose sum is σ = 4026224180160. Its totient is φ = 294243840000.

The previous prime is 1115844796789. The next prime is 1115844796813. The reversal of 1115844796800 is 86974485111.

1115844796800 is a `hidden beast` number, since 1 + 1 + 15 + 84 + 479 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1115844796800² (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 71 ways as a sum of consecutive naturals, for example, 1178293927 + ... + 1178294873.

It is an arithmetic number, because the mean of its divisors is an integer number (6989972535).

Almost surely, 2^{1115844796800} is an apocalyptic number.

1115844796800 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 1115844796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013112090080).

1115844796800 is an abundant number, since it is smaller than the sum of its proper divisors (2910379383360).

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

1115844796800 is a wasteful number, since it uses less digits than its factorization.

1115844796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1115844796800 in words is "one trillion, one hundred fifteen billion, eight hundred forty-four million, seven hundred ninety-six thousand, eight hundred".