15380064000 has 576 divisors, whose sum is σ = 64895201280. Its totient is φ = 3514060800.

The previous prime is 15380063989. The next prime is 15380064019. The reversal of 15380064000 is 46008351.

15380064000 is a `hidden beast` number, since 15 + 3 + 8 + 0 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6046729 + ... + 6049271.

It is an arithmetic number, because the mean of its divisors is an integer number (112665280).

Almost surely, 2^15380064000 is an apocalyptic number.

15380064000 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 15380064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32447600640).

15380064000 is an abundant number, since it is smaller than the sum of its proper divisors (49515137280).

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

15380064000 is an equidigital number, since it uses as much as digits as its factorization.

15380064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 15380064000 in words is "fifteen billion, three hundred eighty million, sixty-four thousand".