21895765248 has 324 divisors, whose sum is σ = 70490136192. Its totient is φ = 6009937920.

The previous prime is 21895765207. The next prime is 21895765301. The reversal of 21895765248 is 84256759812.

Its product of digits (9676800) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159823036 + ... + 159823172.

Almost surely, 2^21895765248 is an apocalyptic number.

21895765248 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 21895765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35245068096).

21895765248 is an abundant number, since it is smaller than the sum of its proper divisors (48594370944).

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

21895765248 is an equidigital number, since it uses as much as digits as its factorization.

21895765248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 180 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 21895765248 in words is "twenty-one billion, eight hundred ninety-five million, seven hundred sixty-five thousand, two hundred forty-eight".