20924006400 has 816 divisors, whose sum is σ = 85814805120. Its totient is φ = 4954521600.

The previous prime is 20924006399. The next prime is 20924006417. The reversal of 20924006400 is 460042902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486604779 + ... + 486604821.

Almost surely, 2^20924006400 is an apocalyptic number.

20924006400 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 20924006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907402560).

20924006400 is an abundant number, since it is smaller than the sum of its proper divisors (64890798720).

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

20924006400 is an equidigital number, since it uses as much as digits as its factorization.

20924006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20924006400 in words is "twenty billion, nine hundred twenty-four million, six thousand, four hundred".