1157455680 has 448 divisors, whose sum is σ = 4213555200. Its totient is φ = 267632640.

The previous prime is 1157455679. The next prime is 1157455681. The reversal of 1157455680 is 865547511.

It is an interprime number because it is at equal distance from previous prime (1157455679) and next prime (1157455681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157455681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13005076 + ... + 13005164.

Almost surely, 2^1157455680 is an apocalyptic number.

1157455680 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 1157455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106777600).

1157455680 is an abundant number, since it is smaller than the sum of its proper divisors (3056099520).

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

1157455680 is a wasteful number, since it uses less digits than its factorization.

1157455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The square root of 1157455680 is about 34021.4003239138. The cubic root of 1157455680 is about 1049.9488047601.

The spelling of 1157455680 in words is "one billion, one hundred fifty-seven million, four hundred fifty-five thousand, six hundred eighty".