20722262400 has 960 divisors, whose sum is σ = 89620692480. Its totient is φ = 4635740160.

The previous prime is 20722262357. The next prime is 20722262419. The reversal of 20722262400 is 426222702.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 440899177 + ... + 440899223.

It is an arithmetic number, because the mean of its divisors is an integer number (93354888).

Almost surely, 2^20722262400 is an apocalyptic number.

20722262400 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 20722262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44810346240).

20722262400 is an abundant number, since it is smaller than the sum of its proper divisors (68898430080).

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

20722262400 is an frugal number, since it uses more digits than its factorization.

20722262400 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 5376, while the sum is 27.

The spelling of 20722262400 in words is "twenty billion, seven hundred twenty-two million, two hundred sixty-two thousand, four hundred".