11611607040 has 832 divisors, whose sum is σ = 47557601280. Its totient is φ = 2660106240.

The previous prime is 11611607023. The next prime is 11611607069. The reversal of 11611607040 is 4070611611.

11611607040 is a `hidden beast` number, since 1 + 1 + 6 + 11 + 607 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11611606995 and 11611607013.

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, 139898839 + ... + 139898921.

Almost surely, 2^11611607040 is an apocalyptic number.

11611607040 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 11611607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778800640).

11611607040 is an abundant number, since it is smaller than the sum of its proper divisors (35945994240).

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

11611607040 is a wasteful number, since it uses less digits than its factorization.

11611607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 11611607040 in words is "eleven billion, six hundred eleven million, six hundred seven thousand, forty".