1158793020 has 576 divisors, whose sum is σ = 4804531200. Its totient is φ = 224985600.

The previous prime is 1158792997. The next prime is 1158793063. The reversal of 1158793020 is 203978511.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37380405 + ... + 37380435.

It is an arithmetic number, because the mean of its divisors is an integer number (8341200).

Almost surely, 2^1158793020 is an apocalyptic number.

1158793020 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 1158793020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402265600).

1158793020 is an abundant number, since it is smaller than the sum of its proper divisors (3645738180).

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

1158793020 is a wasteful number, since it uses less digits than its factorization.

1158793020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1158793020 is about 34041.0490437648. The cubic root of 1158793020 is about 1050.3530241524.

The spelling of 1158793020 in words is "one billion, one hundred fifty-eight million, seven hundred ninety-three thousand, twenty".