20502534400 has 108 divisors (see below), whose sum is σ = 50939903700. Its totient is φ = 8169840640.

The previous prime is 20502534391. The next prime is 20502534419. The reversal of 20502534400 is 443520502.

It can be written as a sum of positive squares in 6 ways, for example, as 4509391104 + 15993143296 = 67152^2 + 126464^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1715646 + ... + 1727554.

It is an arithmetic number, because the mean of its divisors is an integer number (471665775).

Almost surely, 2^20502534400 is an apocalyptic number.

20502534400 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 20502534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25469951850).

20502534400 is an abundant number, since it is smaller than the sum of its proper divisors (30437369300).

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

20502534400 is a wasteful number, since it uses less digits than its factorization.

20502534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 20502534400 in words is "twenty billion, five hundred two million, five hundred thirty-four thousand, four hundred".