21877248288 has 192 divisors, whose sum is σ = 69476520960. Its totient is φ = 5894525952.

The previous prime is 21877248287. The next prime is 21877248293. The reversal of 21877248288 is 88284277812.

It is a happy number.

It is a super-2 number, since 2×21877248288² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21877248287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824931 + ... + 851037.

It is an arithmetic number, because the mean of its divisors is an integer number (361856880).

Almost surely, 2^21877248288 is an apocalyptic number.

21877248288 is a gapful number since it is divisible by the number (28) 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 21877248288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34738260480).

21877248288 is an abundant number, since it is smaller than the sum of its proper divisors (47599272672).

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

21877248288 is a wasteful number, since it uses less digits than its factorization.

21877248288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26199 (or 26191 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 57.

The spelling of 21877248288 in words is "twenty-one billion, eight hundred seventy-seven million, two hundred forty-eight thousand, two hundred eighty-eight".