21874913280 has 312 divisors, whose sum is σ = 82724513040. Its totient is φ = 5302517760.

The previous prime is 21874913261. The next prime is 21874913287. The reversal of 21874913280 is 8231947812.

It is a happy number.

21874913280 is a `hidden beast` number, since 2 + 1 + 87 + 491 + 3 + 2 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21874913287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2022126 + ... + 2032914.

It is an arithmetic number, because the mean of its divisors is an integer number (265142670).

Almost surely, 2^21874913280 is an apocalyptic number.

21874913280 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 21874913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41362256520).

21874913280 is an abundant number, since it is smaller than the sum of its proper divisors (60849599760).

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

21874913280 is a wasteful number, since it uses less digits than its factorization.

21874913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10835 (or 10810 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 21874913280 in words is "twenty-one billion, eight hundred seventy-four million, nine hundred thirteen thousand, two hundred eighty".