8565157440 has 672 divisors, whose sum is σ = 36137088000. Its totient is φ = 1818464256.

The previous prime is 8565157409. The next prime is 8565157441. The reversal of 8565157440 is 447515658.

8565157440 is a `hidden beast` number, since 8 + 56 + 5 + 157 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (8565157441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22599171 + ... + 22599549.

Almost surely, 2^8565157440 is an apocalyptic number.

8565157440 is a gapful number since it is divisible by the number (80) 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 8565157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544000).

8565157440 is an abundant number, since it is smaller than the sum of its proper divisors (27571930560).

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

8565157440 is a wasteful number, since it uses less digits than its factorization.

8565157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 8565157440 is about 92548.1357997016. The cubic root of 8565157440 is about 2046.0289925745.

It can be divided in two parts, 856515 and 7440, that added together give a triangular number (863955 = T₁₃₁₄).

The spelling of 8565157440 in words is "eight billion, five hundred sixty-five million, one hundred fifty-seven thousand, four hundred forty".