11312091535360 has 768 divisors, whose sum is σ = 35041597194240. Its totient is φ = 3401367552000.

The previous prime is 11312091535321. The next prime is 11312091535441. The reversal of 11312091535360 is 6353519021311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11414824465 + ... + 11414825455.

It is an arithmetic number, because the mean of its divisors is an integer number (45627079680).

Almost surely, 2^{11312091535360} is an apocalyptic number.

11312091535360 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 11312091535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520798597120).

11312091535360 is an abundant number, since it is smaller than the sum of its proper divisors (23729505658880).

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

11312091535360 is a wasteful number, since it uses less digits than its factorization.

11312091535360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The spelling of 11312091535360 in words is "eleven trillion, three hundred twelve billion, ninety-one million, five hundred thirty-five thousand, three hundred sixty".