20577607000 has 128 divisors (see below), whose sum is σ = 50112691200. Its totient is φ = 7902384000.

The previous prime is 20577606997. The next prime is 20577607027. The reversal of 20577607000 is 70677502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2532945 + ... + 2541055.

It is an arithmetic number, because the mean of its divisors is an integer number (391505400).

Almost surely, 2^20577607000 is an apocalyptic number.

20577607000 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 20577607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25056345600).

20577607000 is an abundant number, since it is smaller than the sum of its proper divisors (29535084200).

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

20577607000 is a wasteful number, since it uses less digits than its factorization.

20577607000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8234 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 34.

The spelling of 20577607000 in words is "twenty billion, five hundred seventy-seven million, six hundred seven thousand".