11408520816 has 600 divisors, whose sum is σ = 43742061440. Its totient is φ = 2802159360.

The previous prime is 11408520749. The next prime is 11408520817. The reversal of 11408520816 is 61802580411.

11408520816 is a `hidden beast` number, since 11 + 40 + 8 + 520 + 81 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11408520817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20856255 + ... + 20856801.

Almost surely, 2^11408520816 is an apocalyptic number.

11408520816 is a gapful number since it is divisible by the number (16) 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 11408520816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21871030720).

11408520816 is an abundant number, since it is smaller than the sum of its proper divisors (32333540624).

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

11408520816 is a wasteful number, since it uses less digits than its factorization.

11408520816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11408520816 in words is "eleven billion, four hundred eight million, five hundred twenty thousand, eight hundred sixteen".