11813059440 has 1200 divisors, whose sum is σ = 53772415488. Its totient is φ = 2348476416.

The previous prime is 11813059439. The next prime is 11813059471. The reversal of 11813059440 is 4495031811.

11813059440 is a `hidden beast` number, since 1 + 18 + 13 + 0 + 594 + 40 = 666.

It is a super-2 number, since 2×11813059440² (a number of 21 digits) contains 22 as substring.

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 = 11813059395 and 11813059404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 176314287 + ... + 176314353.

Almost surely, 2^11813059440 is an apocalyptic number.

11813059440 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 11813059440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26886207744).

11813059440 is an abundant number, since it is smaller than the sum of its proper divisors (41959356048).

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

11813059440 is a wasteful number, since it uses less digits than its factorization.

11813059440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11813059440 in words is "eleven billion, eight hundred thirteen million, fifty-nine thousand, four hundred forty".