20387815096320 has 1728 divisors, whose sum is σ = 88378815522816. Its totient is φ = 4239938027520.

The previous prime is 20387815096277. The next prime is 20387815096343. The reversal of 20387815096320 is 2369051878302.

20387815096320 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 78 + 1 + 509 + 63 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21758606892 + ... + 21758607828.

It is an arithmetic number, because the mean of its divisors is an integer number (51145147872).

Almost surely, 2^{20387815096320} is an apocalyptic number.

20387815096320 is a gapful number since it is divisible by the number (20) 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 20387815096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44189407761408).

20387815096320 is an abundant number, since it is smaller than the sum of its proper divisors (67991000426496).

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

20387815096320 is an equidigital number, since it uses as much as digits as its factorization.

20387815096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20387815096320 in words is "twenty trillion, three hundred eighty-seven billion, eight hundred fifteen million, ninety-six thousand, three hundred twenty".