15381869783040 has 288 divisors, whose sum is σ = 55030510080000. Its totient is φ = 3969514045440.

The previous prime is 15381869783023. The next prime is 15381869783051. The reversal of 15381869783040 is 4038796818351.

15381869783040 is a `hidden beast` number, since 1 + 538 + 1 + 8 + 6 + 97 + 8 + 3 + 0 + 4 + 0 = 666.

15381869783040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164961 + ... + 5548959.

It is an arithmetic number, because the mean of its divisors is an integer number (191078160000).

Almost surely, 2^{15381869783040} is an apocalyptic number.

15381869783040 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 15381869783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27515255040000).

15381869783040 is an abundant number, since it is smaller than the sum of its proper divisors (39648640296960).

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

15381869783040 is a wasteful number, since it uses less digits than its factorization.

15381869783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384063 (or 5384040 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 15381869783040 in words is "fifteen trillion, three hundred eighty-one billion, eight hundred sixty-nine million, seven hundred eighty-three thousand, forty".