20881879200 has 1296 divisors, whose sum is σ = 96034400280. Its totient is φ = 4226826240.

The previous prime is 20881879199. The next prime is 20881879219. The reversal of 20881879200 is 297818802.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 31674384 + 20850204816 = 5628^2 + 144396^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 133005522 + ... + 133005678.

Almost surely, 2^20881879200 is an apocalyptic number.

20881879200 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 20881879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48017200140).

20881879200 is an abundant number, since it is smaller than the sum of its proper divisors (75152521080).

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

20881879200 is a wasteful number, since it uses less digits than its factorization.

20881879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

It can be divided in two parts, 2088 and 1879200, that multiplied together give a square (3923769600 = 62640²).

The spelling of 20881879200 in words is "twenty billion, eight hundred eighty-one million, eight hundred seventy-nine thousand, two hundred".