20723525222400 has 4104 divisors, whose sum is σ = 103933245596544. Its totient is φ = 3974941900800.

The previous prime is 20723525222369. The next prime is 20723525222459. The reversal of 20723525222400 is 422252532702.

20723525222400 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 3 + 5 + 25 + 222 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1594117324794 + ... + 1594117324806.

Almost surely, 2^{20723525222400} is an apocalyptic number.

20723525222400 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 20723525222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51966622798272).

20723525222400 is an abundant number, since it is smaller than the sum of its proper divisors (83209720374144).

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

20723525222400 is an frugal number, since it uses more digits than its factorization.

20723525222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 20723525222400 in words is "twenty trillion, seven hundred twenty-three billion, five hundred twenty-five million, two hundred twenty-two thousand, four hundred".