20934870400 has 192 divisors, whose sum is σ = 53667993600. Its totient is φ = 8060774400.

The previous prime is 20934870389. The next prime is 20934870403. The reversal of 20934870400 is 407843902.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20934870400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20934870403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23708359 + ... + 23709241.

It is an arithmetic number, because the mean of its divisors is an integer number (279520800).

Almost surely, 2^20934870400 is an apocalyptic number.

20934870400 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 20934870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26833996800).

20934870400 is an abundant number, since it is smaller than the sum of its proper divisors (32733123200).

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

20934870400 is a wasteful number, since it uses less digits than its factorization.

20934870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

It can be divided in two parts, 20 and 934870400, that added together give a triangular number (934870420 = T₄₃₂₄₀).

The spelling of 20934870400 in words is "twenty billion, nine hundred thirty-four million, eight hundred seventy thousand, four hundred".