20577473280 has 864 divisors, whose sum is σ = 90996132864. Its totient is φ = 4335648768.

The previous prime is 20577473269. The next prime is 20577473303. The reversal of 20577473280 is 8237477502.

20577473280 is a `hidden beast` number, since 2 + 0 + 577 + 4 + 73 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×20577473280² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 28304277 + ... + 28305003.

Almost surely, 2^20577473280 is an apocalyptic number.

20577473280 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 20577473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45498066432).

20577473280 is an abundant number, since it is smaller than the sum of its proper divisors (70418659584).

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

20577473280 is an equidigital number, since it uses as much as digits as its factorization.

20577473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 20577473280 in words is "twenty billion, five hundred seventy-seven million, four hundred seventy-three thousand, two hundred eighty".