15378688863720 has 1536 divisors, whose sum is σ = 64021409786880. Its totient is φ = 3115217387520.

The previous prime is 15378688863701. The next prime is 15378688863793. The reversal of 15378688863720 is 2736888687351.

15378688863720 is a `hidden beast` number, since 1 + 53 + 78 + 68 + 8 + 86 + 372 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54728429980 + ... + 54728430260.

It is an arithmetic number, because the mean of its divisors is an integer number (41680605330).

Almost surely, 2^{15378688863720} is an apocalyptic number.

15378688863720 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 15378688863720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32010704893440).

15378688863720 is an abundant number, since it is smaller than the sum of its proper divisors (48642720923160).

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

15378688863720 is a wasteful number, since it uses less digits than its factorization.

15378688863720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 15378688863720 in words is "fifteen trillion, three hundred seventy-eight billion, six hundred eighty-eight million, eight hundred sixty-three thousand, seven hundred twenty".