1158811920 has 400 divisors, whose sum is σ = 4688449920. Its totient is φ = 259780608.

The previous prime is 1158811879. The next prime is 1158811933. The reversal of 1158811920 is 291188511.

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 79 ways as a sum of consecutive naturals, for example, 2676024 + ... + 2676456.

Almost surely, 2^1158811920 is an apocalyptic number.

1158811920 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 1158811920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344224960).

1158811920 is an abundant number, since it is smaller than the sum of its proper divisors (3529638000).

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

1158811920 is a wasteful number, since it uses less digits than its factorization.

1158811920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The square root of 1158811920 is about 34041.3266486487. The cubic root of 1158811920 is about 1050.3587345665.

The spelling of 1158811920 in words is "one billion, one hundred fifty-eight million, eight hundred eleven thousand, nine hundred twenty".