1161057888 has 168 divisors, whose sum is σ = 3480409296. Its totient is φ = 381024000.

The previous prime is 1161057883. The next prime is 1161057907. The reversal of 1161057888 is 8887501611.

1161057888 is a `hidden beast` number, since 11 + 61 + 0 + 578 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161057881) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1655938 + ... + 1656638.

It is an arithmetic number, because the mean of its divisors is an integer number (20716722).

Almost surely, 2^1161057888 is an apocalyptic number.

1161057888 is a gapful number since it is divisible by the number (18) 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 1161057888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740204648).

1161057888 is an abundant number, since it is smaller than the sum of its proper divisors (2319351408).

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

1161057888 is an frugal number, since it uses more digits than its factorization.

1161057888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The square root of 1161057888 is about 34074.2995232477. The cubic root of 1161057888 is about 1051.0368859314.

The spelling of 1161057888 in words is "one billion, one hundred sixty-one million, fifty-seven thousand, eight hundred eighty-eight".