1155252571200 has 1008 divisors, whose sum is σ = 5350961266560. Its totient is φ = 229403197440.

The previous prime is 1155252571199. The next prime is 1155252571229. The reversal of 1155252571200 is 21752525511.

1155252571200 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 2 + 525 + 7 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1155252571200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22250871 + ... + 22302729.

It is an arithmetic number, because the mean of its divisors is an integer number (5308493320).

Almost surely, 2^{1155252571200} is an apocalyptic number.

1155252571200 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 1155252571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675480633280).

1155252571200 is an abundant number, since it is smaller than the sum of its proper divisors (4195708695360).

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

1155252571200 is a wasteful number, since it uses less digits than its factorization.

1155252571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51924 (or 51906 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 36.

The spelling of 1155252571200 in words is "one trillion, one hundred fifty-five billion, two hundred fifty-two million, five hundred seventy-one thousand, two hundred".