20204510400 has 840 divisors, whose sum is σ = 79025227776. Its totient is φ = 5055436800.

The previous prime is 20204510371. The next prime is 20204510423. The reversal of 20204510400 is 401540202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 188827147 + ... + 188827253.

Almost surely, 2^20204510400 is an apocalyptic number.

20204510400 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 20204510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39512613888).

20204510400 is an abundant number, since it is smaller than the sum of its proper divisors (58820717376).

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

20204510400 is a wasteful number, since it uses less digits than its factorization.

20204510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The spelling of 20204510400 in words is "twenty billion, two hundred four million, five hundred ten thousand, four hundred".