20152828800 has 576 divisors, whose sum is σ = 81546082800. Its totient is φ = 4697948160.

The previous prime is 20152828783. The next prime is 20152828841. The reversal of 20152828800 is 882825102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×20152828800² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7112184 + ... + 7115016.

Almost surely, 2^20152828800 is an apocalyptic number.

20152828800 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 20152828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40773041400).

20152828800 is an abundant number, since it is smaller than the sum of its proper divisors (61393254000).

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

20152828800 is a wasteful number, since it uses less digits than its factorization.

20152828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 20152828800 in words is "twenty billion, one hundred fifty-two million, eight hundred twenty-eight thousand, eight hundred".