20270748960 has 1344 divisors, whose sum is σ = 93445519104. Its totient is φ = 4031078400.

The previous prime is 20270748959. The next prime is 20270748973. The reversal of 20270748960 is 6984707202.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 332307330 + ... + 332307390.

It is an arithmetic number, because the mean of its divisors is an integer number (69527916).

Almost surely, 2^20270748960 is an apocalyptic number.

20270748960 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 20270748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46722759552).

20270748960 is an abundant number, since it is smaller than the sum of its proper divisors (73174770144).

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

20270748960 is a wasteful number, since it uses less digits than its factorization.

20270748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 20270748960 in words is "twenty billion, two hundred seventy million, seven hundred forty-eight thousand, nine hundred sixty".