9135512138880 has 896 divisors, whose sum is σ = 33437438550000. Its totient is φ = 2384965140480.

The previous prime is 9135512138777. The next prime is 9135512138887. The reversal of 9135512138880 is 888312155319.

9135512138880 is a `hidden beast` number, since 9 + 1 + 3 + 551 + 2 + 1 + 3 + 8 + 8 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3764872747584 + 5370639391296 = 1940328^2 + 2317464^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9135512138887) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7314260496 + ... + 7314261744.

Almost surely, 2^{9135512138880} is an apocalyptic number.

9135512138880 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 9135512138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718719275000).

9135512138880 is an abundant number, since it is smaller than the sum of its proper divisors (24301926411120).

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

9135512138880 is a wasteful number, since it uses less digits than its factorization.

9135512138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 9135512138880 in words is "nine trillion, one hundred thirty-five billion, five hundred twelve million, one hundred thirty-eight thousand, eight hundred eighty".