20926214400 has 1296 divisors, whose sum is σ = 91016049600. Its totient is φ = 4190699520.

The previous prime is 20926214381. The next prime is 20926214417. The reversal of 20926214400 is 441262902.

It is a super-2 number, since 2×20926214400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 354681571 + ... + 354681629.

Almost surely, 2^20926214400 is an apocalyptic number.

20926214400 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 20926214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45508024800).

20926214400 is an abundant number, since it is smaller than the sum of its proper divisors (70089835200).

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

20926214400 is a wasteful number, since it uses less digits than its factorization.

20926214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 20926214400 in words is "twenty billion, nine hundred twenty-six million, two hundred fourteen thousand, four hundred".