21876097248 has 96 divisors (see below), whose sum is σ = 63881395200. Its totient is φ = 7283334528.

The previous prime is 21876097237. The next prime is 21876097259. The reversal of 21876097248 is 84279067812.

It is a happy number.

21876097248 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 609 + 7 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (21876097237) and next prime (21876097259).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21876097194 and 21876097203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730963 + ... + 760301.

It is an arithmetic number, because the mean of its divisors is an integer number (665431200).

Almost surely, 2^21876097248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21876097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31940697600).

21876097248 is an abundant number, since it is smaller than the sum of its proper divisors (42005297952).

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

21876097248 is a wasteful number, since it uses less digits than its factorization.

21876097248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30221 (or 30207 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 21876097248 in words is "twenty-one billion, eight hundred seventy-six million, ninety-seven thousand, two hundred forty-eight".