20245132800 has 360 divisors, whose sum is σ = 74802087360. Its totient is φ = 5223628800.

The previous prime is 20245132793. The next prime is 20245132813. The reversal of 20245132800 is 823154202.

20245132800 is a `hidden beast` number, since 202 + 451 + 3 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×20245132800³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3568366 + ... + 3574034.

It is an arithmetic number, because the mean of its divisors is an integer number (207783576).

Almost surely, 2^20245132800 is an apocalyptic number.

20245132800 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 20245132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37401043680).

20245132800 is an abundant number, since it is smaller than the sum of its proper divisors (54556954560).

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

20245132800 is a wasteful number, since it uses less digits than its factorization.

20245132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 20245132800 in words is "twenty billion, two hundred forty-five million, one hundred thirty-two thousand, eight hundred".