1152553625160 has 256 divisors, whose sum is σ = 3968769692160. Its totient is φ = 262298787840.

The previous prime is 1152553625143. The next prime is 1152553625177. The reversal of 1152553625160 is 615263552511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1152553625143) and next prime (1152553625177).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505283220 + ... + 505285500.

It is an arithmetic number, because the mean of its divisors is an integer number (15503006610).

Almost surely, 2^{1152553625160} is an apocalyptic number.

1152553625160 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 1152553625160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984384846080).

1152553625160 is an abundant number, since it is smaller than the sum of its proper divisors (2816216067000).

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

1152553625160 is a wasteful number, since it uses less digits than its factorization.

1152553625160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 1152553625160 in words is "one trillion, one hundred fifty-two billion, five hundred fifty-three million, six hundred twenty-five thousand, one hundred sixty".