9415138560 has 288 divisors, whose sum is σ = 32026700160. Its totient is φ = 2349072384.

The previous prime is 9415138553. The next prime is 9415138567. The reversal of 9415138560 is 658315149.

It is an interprime number because it is at equal distance from previous prime (9415138553) and next prime (9415138567).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9415138567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15209931 + ... + 15210549.

It is an arithmetic number, because the mean of its divisors is an integer number (111203820).

Almost surely, 2^9415138560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9415138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16013350080).

9415138560 is an abundant number, since it is smaller than the sum of its proper divisors (22611561600).

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

9415138560 is a wasteful number, since it uses less digits than its factorization.

9415138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 9415138560 is about 97031.6369026103. The cubic root of 9415138560 is about 2111.5866385694.

The spelling of 9415138560 in words is "nine billion, four hundred fifteen million, one hundred thirty-eight thousand, five hundred sixty".