20024745326400 has 336 divisors, whose sum is σ = 67129672354560. Its totient is φ = 5223668736000.

The previous prime is 20024745326389. The next prime is 20024745326413. The reversal of 20024745326400 is 462354742002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466744950 + ... + 466787850.

Almost surely, 2^{20024745326400} is an apocalyptic number.

20024745326400 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 20024745326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33564836177280).

20024745326400 is an abundant number, since it is smaller than the sum of its proper divisors (47104927028160).

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

20024745326400 is a wasteful number, since it uses less digits than its factorization.

20024745326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45042 (or 45027 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 20024745326400 in words is "twenty trillion, twenty-four billion, seven hundred forty-five million, three hundred twenty-six thousand, four hundred".