20782694400 has 360 divisors, whose sum is σ = 74062332624. Its totient is φ = 5111808000.

The previous prime is 20782694353. The next prime is 20782694431. The reversal of 20782694400 is 449628702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15973750 + ... + 15975050.

Almost surely, 2^20782694400 is an apocalyptic number.

20782694400 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 20782694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37031166312).

20782694400 is an abundant number, since it is smaller than the sum of its proper divisors (53279638224).

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

20782694400 is a wasteful number, since it uses less digits than its factorization.

20782694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 20782694400 in words is "twenty billion, seven hundred eighty-two million, six hundred ninety-four thousand, four hundred".