11655919440 has 400 divisors, whose sum is σ = 46765667520. Its totient is φ = 2659184640.

The previous prime is 11655919439. The next prime is 11655919441. The reversal of 11655919440 is 4491955611.

11655919440 is a `hidden beast` number, since 1 + 1 + 6 + 559 + 1 + 94 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11655919439) and next prime (11655919441).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11655919441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1206951 + ... + 1216569.

Almost surely, 2^11655919440 is an apocalyptic number.

11655919440 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 11655919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23382833760).

11655919440 is an abundant number, since it is smaller than the sum of its proper divisors (35109748080).

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

11655919440 is a wasteful number, since it uses less digits than its factorization.

11655919440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9657 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 11655919440 in words is "eleven billion, six hundred fifty-five million, nine hundred nineteen thousand, four hundred forty".