20805261084400 has 120 divisors (see below), whose sum is σ = 53833731295680. Its totient is φ = 7681354705920.

The previous prime is 20805261084373. The next prime is 20805261084403. The reversal of 20805261084400 is 448016250802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20805261084403) 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, 70984554 + ... + 71277046.

It is an arithmetic number, because the mean of its divisors is an integer number (448614427464).

Almost surely, 2^{20805261084400} is an apocalyptic number.

20805261084400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20805261084400 is an abundant number, since it is smaller than the sum of its proper divisors (33028470211280).

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

20805261084400 is a wasteful number, since it uses less digits than its factorization.

20805261084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306203 (or 306192 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 20805261084400 in words is "twenty trillion, eight hundred five billion, two hundred sixty-one million, eighty-four thousand, four hundred".