20271888000 has 1728 divisors, whose sum is σ = 97097172120. Its totient is φ = 4025548800.

The previous prime is 20271887981. The next prime is 20271888023. The reversal of 20271888000 is 88817202.

It can be written as a sum of positive squares in 12 ways, for example, as 3926776896 + 16345111104 = 62664^2 + 127848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1192463992 + ... + 1192464008.

Almost surely, 2^20271888000 is an apocalyptic number.

20271888000 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 20271888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48548586060).

20271888000 is an abundant number, since it is smaller than the sum of its proper divisors (76825284120).

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

20271888000 is a wasteful number, since it uses less digits than its factorization.

20271888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 20271888000 in words is "twenty billion, two hundred seventy-one million, eight hundred eighty-eight thousand".