1152556276800 has 168 divisors, whose sum is σ = 3797170358400. Its totient is φ = 306062059520.

The previous prime is 1152556276777. The next prime is 1152556276811. The reversal of 1152556276800 is 86726552511.

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 1152556276800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644866 + ... + 1649534.

Almost surely, 2^{1152556276800} is an apocalyptic number.

1152556276800 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 1152556276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898585179200).

1152556276800 is an abundant number, since it is smaller than the sum of its proper divisors (2644614081600).

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

1152556276800 is a wasteful number, since it uses less digits than its factorization.

1152556276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004933 (or 1004918 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 1152556276800 in words is "one trillion, one hundred fifty-two billion, five hundred fifty-six million, two hundred seventy-six thousand, eight hundred".