11817319401720 has 448 divisors, whose sum is σ = 45574399189440. Its totient is φ = 2700262656000.

The previous prime is 11817319401707. The next prime is 11817319401731. The reversal of 11817319401720 is 2710491371811.

11817319401720 is a `hidden beast` number, since 1 + 1 + 8 + 173 + 1 + 9 + 401 + 72 + 0 = 666.

11817319401720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 857501230 + ... + 857515010.

Almost surely, 2^{11817319401720} is an apocalyptic number.

11817319401720 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 11817319401720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787199594720).

11817319401720 is an abundant number, since it is smaller than the sum of its proper divisors (33757079787720).

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

11817319401720 is a wasteful number, since it uses less digits than its factorization.

11817319401720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18018 (or 17999 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 11817319401720 in words is "eleven trillion, eight hundred seventeen billion, three hundred nineteen million, four hundred one thousand, seven hundred twenty".