20722190400 has 1008 divisors, whose sum is σ = 84018729600. Its totient is φ = 4817387520.

The previous prime is 20722190393. The next prime is 20722190407. The reversal of 20722190400 is 409122702.

20722190400 is a `hidden beast` number, since 2 + 0 + 72 + 2 + 190 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (20722190393) and next prime (20722190407).

It is not an unprimeable number, because it can be changed into a prime (20722190407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232833556 + ... + 232833644.

Almost surely, 2^20722190400 is an apocalyptic number.

20722190400 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 20722190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42009364800).

20722190400 is an abundant number, since it is smaller than the sum of its proper divisors (63296539200).

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

20722190400 is a wasteful number, since it uses less digits than its factorization.

20722190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 20722190400 in words is "twenty billion, seven hundred twenty-two million, one hundred ninety thousand, four hundred".