20012726400 has 384 divisors, whose sum is σ = 70348176000. Its totient is φ = 4983029760.

The previous prime is 20012726387. The next prime is 20012726407. The reversal of 20012726400 is 462721002.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20012726400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20012726407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24316389 + ... + 24317211.

It is an arithmetic number, because the mean of its divisors is an integer number (183198375).

Almost surely, 2^20012726400 is an apocalyptic number.

20012726400 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 20012726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35174088000).

20012726400 is an abundant number, since it is smaller than the sum of its proper divisors (50335449600).

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

20012726400 is a wasteful number, since it uses less digits than its factorization.

20012726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 20012726400 in words is "twenty billion, twelve million, seven hundred twenty-six thousand, four hundred".