20845094400 has 720 divisors, whose sum is σ = 83113430400. Its totient is φ = 4954521600.

The previous prime is 20845094393. The next prime is 20845094423. The reversal of 20845094400 is 449054802.

20845094400 is a `hidden beast` number, since 208 + 4 + 5 + 0 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×20845094400² (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, 46425376 + ... + 46425824.

It is an arithmetic number, because the mean of its divisors is an integer number (115435320).

Almost surely, 2^20845094400 is an apocalyptic number.

20845094400 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 20845094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41556715200).

20845094400 is an abundant number, since it is smaller than the sum of its proper divisors (62268336000).

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

20845094400 is a wasteful number, since it uses less digits than its factorization.

20845094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20845094400 in words is "twenty billion, eight hundred forty-five million, ninety-four thousand, four hundred".