20948245920 has 960 divisors, whose sum is σ = 91680906240. Its totient is φ = 4410630144.

The previous prime is 20948245867. The next prime is 20948245951. The reversal of 20948245920 is 2954284902.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 445707337 + ... + 445707383.

It is an arithmetic number, because the mean of its divisors is an integer number (95500944).

Almost surely, 2^20948245920 is an apocalyptic number.

20948245920 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 20948245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45840453120).

20948245920 is an abundant number, since it is smaller than the sum of its proper divisors (70732660320).

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

20948245920 is an equidigital number, since it uses as much as digits as its factorization.

20948245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20948245920 in words is "twenty billion, nine hundred forty-eight million, two hundred forty-five thousand, nine hundred twenty".