20828822400 has 288 divisors, whose sum is σ = 74878689600. Its totient is φ = 5512765440.

The previous prime is 20828822387. The next prime is 20828822423. The reversal of 20828822400 is 422882802.

20828822400 is a `hidden beast` number, since 208 + 28 + 8 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 3942961 + ... + 3948239.

It is an arithmetic number, because the mean of its divisors is an integer number (259995450).

Almost surely, 2^20828822400 is an apocalyptic number.

20828822400 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 20828822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37439344800).

20828822400 is an abundant number, since it is smaller than the sum of its proper divisors (54049867200).

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

20828822400 is a wasteful number, since it uses less digits than its factorization.

20828822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 20828822400 in words is "twenty billion, eight hundred twenty-eight million, eight hundred twenty-two thousand, four hundred".