21782532096 has 416 divisors, whose sum is σ = 70639184000. Its totient is φ = 6593052672.

The previous prime is 21782532067. The next prime is 21782532097. The reversal of 21782532096 is 69023528712.

21782532096 is a `hidden beast` number, since 21 + 7 + 8 + 2 + 532 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is not an unprimeable number, because it can be changed into a prime (21782532097) 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, 156708795 + ... + 156708933.

Almost surely, 2^21782532096 is an apocalyptic number.

21782532096 is a gapful number since it is divisible by the number (26) 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 21782532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35319592000).

21782532096 is an abundant number, since it is smaller than the sum of its proper divisors (48856651904).

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

21782532096 is a wasteful number, since it uses less digits than its factorization.

21782532096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 21782 and 532096, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 21782532096 in words is "twenty-one billion, seven hundred eighty-two million, five hundred thirty-two thousand, ninety-six".