9157435560 has 1344 divisors, whose sum is σ = 42389600400. Its totient is φ = 1755758592.

The previous prime is 9157435537. The next prime is 9157435571. The reversal of 9157435560 is 655347519.

9157435560 is a `hidden beast` number, since 9 + 1 + 57 + 4 + 35 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3612250404 + 5545185156 = 60102^2 + 74466^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 315773626 + ... + 315773654.

Almost surely, 2^9157435560 is an apocalyptic number.

9157435560 is a gapful number since it is divisible by the number (90) 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 9157435560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194800200).

9157435560 is an abundant number, since it is smaller than the sum of its proper divisors (33232164840).

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

9157435560 is a wasteful number, since it uses less digits than its factorization.

9157435560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 9157435560 is about 95694.4907505129. The cubic root of 9157435560 is about 2092.1426375501.

The spelling of 9157435560 in words is "nine billion, one hundred fifty-seven million, four hundred thirty-five thousand, five hundred sixty".