11360597040 has 480 divisors, whose sum is σ = 43677204480. Its totient is φ = 2623186944.

The previous prime is 11360596999. The next prime is 11360597111. The reversal of 11360597040 is 4079506311.

11360597040 is a `hidden beast` number, since 1 + 1 + 3 + 60 + 597 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11360596986 and 11360597004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22585429 + ... + 22585931.

It is an arithmetic number, because the mean of its divisors is an integer number (90994176).

Almost surely, 2^11360597040 is an apocalyptic number.

11360597040 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 11360597040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21838602240).

11360597040 is an abundant number, since it is smaller than the sum of its proper divisors (32316607440).

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

11360597040 is a wasteful number, since it uses less digits than its factorization.

11360597040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

It can be divided in two parts, 11360 and 597040, that added together give a square (608400 = 780²).

The spelling of 11360597040 in words is "eleven billion, three hundred sixty million, five hundred ninety-seven thousand, forty".