1159952000 has 64 divisors (see below), whose sum is σ = 2883970440. Its totient is φ = 463974400.

The previous prime is 1159951997. The next prime is 1159952051. The reversal of 1159952000 is 2599511.

It can be written as a sum of positive squares in 4 ways, for example, as 253701184 + 906250816 = 15928^2 + 30104^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20249 + ... + 52248.

Almost surely, 2^1159952000 is an apocalyptic number.

1159952000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1159952000 is an abundant number, since it is smaller than the sum of its proper divisors (1724018440).

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

1159952000 is an frugal number, since it uses more digits than its factorization.

1159952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72526 (or 72504 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 32.

The square root of 1159952000 is about 34058.0680602996. The cubic root of 1159952000 is about 1050.7030816425.

The spelling of 1159952000 in words is "one billion, one hundred fifty-nine million, nine hundred fifty-two thousand".