21782677248 has 288 divisors, whose sum is σ = 66915000320. Its totient is φ = 6982225920.

The previous prime is 21782677193. The next prime is 21782677277. The reversal of 21782677248 is 84277628712.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 21782677194 and 21782677203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59353161 + ... + 59353527.

Almost surely, 2^21782677248 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 21782677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33457500160).

21782677248 is an abundant number, since it is smaller than the sum of its proper divisors (45132323072).

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

21782677248 is a wasteful number, since it uses less digits than its factorization.

21782677248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 680 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 21782677248 in words is "twenty-one billion, seven hundred eighty-two million, six hundred seventy-seven thousand, two hundred forty-eight".