20406988800 has 936 divisors, whose sum is σ = 83753302640. Its totient is φ = 4866048000.

The previous prime is 20406988799. The next prime is 20406988813. The reversal of 20406988800 is 888960402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334540770 + ... + 334540830.

Almost surely, 2^20406988800 is an apocalyptic number.

20406988800 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 20406988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41876651320).

20406988800 is an abundant number, since it is smaller than the sum of its proper divisors (63346313840).

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

20406988800 is a wasteful number, since it uses less digits than its factorization.

20406988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20406988800 in words is "twenty billion, four hundred six million, nine hundred eighty-eight thousand, eight hundred".