11610500040 has 128 divisors (see below), whose sum is σ = 38834812800. Its totient is φ = 3085482240.

The previous prime is 11610500039. The next prime is 11610500113. The reversal of 11610500040 is 4000501611.

11610500040 is a `hidden beast` number, since 1 + 1 + 610 + 50 + 0 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×11610500040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11610499986 and 11610500022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298095 + ... + 334785.

It is an arithmetic number, because the mean of its divisors is an integer number (303396975).

Almost surely, 2^11610500040 is an apocalyptic number.

11610500040 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 11610500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417406400).

11610500040 is an abundant number, since it is smaller than the sum of its proper divisors (27224312760).

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

11610500040 is a wasteful number, since it uses less digits than its factorization.

11610500040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37004 (or 36994 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 11610500040 in words is "eleven billion, six hundred ten million, five hundred thousand, forty".