20854379600 has 60 divisors (see below), whose sum is σ = 50199314940. Its totient is φ = 8325657600.

The previous prime is 20854379593. The next prime is 20854379629. The reversal of 20854379600 is 697345802.

It can be written as a sum of positive squares in 6 ways, for example, as 74580496 + 20779799104 = 8636^2 + 144152^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158366 + ... + 258434.

It is an arithmetic number, because the mean of its divisors is an integer number (836655249).

Almost surely, 2^20854379600 is an apocalyptic number.

20854379600 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 20854379600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25099657470).

20854379600 is an abundant number, since it is smaller than the sum of its proper divisors (29344935340).

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

20854379600 is a wasteful number, since it uses less digits than its factorization.

20854379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100608 (or 100597 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 20854379600 in words is "twenty billion, eight hundred fifty-four million, three hundred seventy-nine thousand, six hundred".