20395152000 has 320 divisors, whose sum is σ = 75752974440. Its totient is φ = 5438361600.

The previous prime is 20395151983. The next prime is 20395152013. The reversal of 20395152000 is 25159302.

It can be written as a sum of positive squares in 4 ways, for example, as 10764477504 + 9630674496 = 103752^2 + 98136^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1288132 + ... + 1303868.

Almost surely, 2^20395152000 is an apocalyptic number.

20395152000 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 20395152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37876487220).

20395152000 is an abundant number, since it is smaller than the sum of its proper divisors (55357822440).

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

20395152000 is an equidigital number, since it uses as much as digits as its factorization.

20395152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15778 (or 15747 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 20395152000 in words is "twenty billion, three hundred ninety-five million, one hundred fifty-two thousand".