20585294400 has 756 divisors, whose sum is σ = 78760976336. Its totient is φ = 4702156800.

The previous prime is 20585294369. The next prime is 20585294417. The reversal of 20585294400 is 449258502.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 307243167 + ... + 307243233.

Almost surely, 2^20585294400 is an apocalyptic number.

20585294400 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 20585294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39380488168).

20585294400 is an abundant number, since it is smaller than the sum of its proper divisors (58175681936).

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

20585294400 is a wasteful number, since it uses less digits than its factorization.

20585294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 20585294400 in words is "twenty billion, five hundred eighty-five million, two hundred ninety-four thousand, four hundred".