13815382965120 has 2304 divisors, whose sum is σ = 56237180126400. Its totient is φ = 3237284413440.

The previous prime is 13815382965107. The next prime is 13815382965151. The reversal of 13815382965120 is 2156928351831.

13815382965120 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 5 + 38 + 2 + 96 + 512 + 0 = 666.

It is a super-2 number, since 2×13815382965120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 122260026184 + ... + 122260026296.

Almost surely, 2^{13815382965120} is an apocalyptic number.

13815382965120 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 13815382965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28118590063200).

13815382965120 is an abundant number, since it is smaller than the sum of its proper divisors (42421797161280).

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

13815382965120 is a wasteful number, since it uses less digits than its factorization.

13815382965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 13815382965120 in words is "thirteen trillion, eight hundred fifteen billion, three hundred eighty-two million, nine hundred sixty-five thousand, one hundred twenty".