21782000976 has 160 divisors (see below), whose sum is σ = 60513091200. Its totient is φ = 6731366400.

The previous prime is 21782000969. The next prime is 21782001019. The reversal of 21782000976 is 67900028712.

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, 8196640 + ... + 8199296.

It is an arithmetic number, because the mean of its divisors is an integer number (378206820).

Almost surely, 2^21782000976 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 21782000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30256545600).

21782000976 is an abundant number, since it is smaller than the sum of its proper divisors (38731090224).

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

21782000976 is a wasteful number, since it uses less digits than its factorization.

With its successor (21782000977) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2877).

21782000976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 21782000976 in words is "twenty-one billion, seven hundred eighty-two million, nine hundred seventy-six", and thus it is an aban number.