20574933120 has 960 divisors, whose sum is σ = 88240363200. Its totient is φ = 4473999360.

The previous prime is 20574933097. The next prime is 20574933139. The reversal of 20574933120 is 2133947502.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 348727651 + ... + 348727709.

It is an arithmetic number, because the mean of its divisors is an integer number (91917045).

Almost surely, 2^20574933120 is an apocalyptic number.

20574933120 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 20574933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44120181600).

20574933120 is an abundant number, since it is smaller than the sum of its proper divisors (67665430080).

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

20574933120 is an equidigital number, since it uses as much as digits as its factorization.

20574933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20574933120 in words is "twenty billion, five hundred seventy-four million, nine hundred thirty-three thousand, one hundred twenty".