1117553764800 has 504 divisors, whose sum is σ = 4221495556992. Its totient is φ = 256658688000.

The previous prime is 1117553764771. The next prime is 1117553764813. The reversal of 1117553764800 is 84673557111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1117553764800.

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, 19031485 + ... + 19090115.

It is an arithmetic number, because the mean of its divisors is an integer number (8375983248).

Almost surely, 2^{1117553764800} is an apocalyptic number.

1117553764800 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 1117553764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110747778496).

1117553764800 is an abundant number, since it is smaller than the sum of its proper divisors (3103941792192).

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

1117553764800 is a wasteful number, since it uses less digits than its factorization.

1117553764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58705 (or 58671 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 1117553764800 in words is "one trillion, one hundred seventeen billion, five hundred fifty-three million, seven hundred sixty-four thousand, eight hundred".