1155772800000 has 2640 divisors, whose sum is σ = 5417806363200. Its totient is φ = 243855360000.

The previous prime is 1155772799989. The next prime is 1155772800053. The reversal of 1155772800000 is 82775511.

1155772800000 is a `hidden beast` number, since 1 + 1 + 5 + 577 + 2 + 80 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 88905599994 + ... + 88905600006.

It is an arithmetic number, because the mean of its divisors is an integer number (2052199380).

Almost surely, 2^{1155772800000} is an apocalyptic number.

1155772800000 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 1155772800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708903181600).

1155772800000 is an abundant number, since it is smaller than the sum of its proper divisors (4262033563200).

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

1155772800000 is an frugal number, since it uses more digits than its factorization.

1155772800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 1155772800000 in words is "one trillion, one hundred fifty-five billion, seven hundred seventy-two million, eight hundred thousand".