20946164400 has 720 divisors, whose sum is σ = 88078648320. Its totient is φ = 4506163200.

The previous prime is 20946164339. The next prime is 20946164401. The reversal of 20946164400 is 446164902.

20946164400 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 6 + 1 + 644 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20946164401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41151346 + ... + 41151854.

It is an arithmetic number, because the mean of its divisors is an integer number (122331456).

Almost surely, 2^20946164400 is an apocalyptic number.

20946164400 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 20946164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44039324160).

20946164400 is an abundant number, since it is smaller than the sum of its proper divisors (67132483920).

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

20946164400 is a wasteful number, since it uses less digits than its factorization.

20946164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20946164400 in words is "twenty billion, nine hundred forty-six million, one hundred sixty-four thousand, four hundred".