1032157793160 has 384 divisors, whose sum is σ = 3798417823200. Its totient is φ = 241285201920.

The previous prime is 1032157793143. The next prime is 1032157793167. The reversal of 1032157793160 is 613977512301.

1032157793160 is a `hidden beast` number, since 1 + 0 + 321 + 5 + 7 + 7 + 9 + 316 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 43449734916 + 988708058244 = 208446^2 + 994338^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1032157793167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8216584 + ... + 8341256.

Almost surely, 2^{1032157793160} is an apocalyptic number.

1032157793160 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 1032157793160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899208911600).

1032157793160 is an abundant number, since it is smaller than the sum of its proper divisors (2766260030040).

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

1032157793160 is a wasteful number, since it uses less digits than its factorization.

1032157793160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124793 (or 124786 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 1032157793160 in words is "one trillion, thirty-two billion, one hundred fifty-seven million, seven hundred ninety-three thousand, one hundred sixty".