20782824390 has 96 divisors (see below), whose sum is σ = 55873449216. Its totient is φ = 5354173440.

The previous prime is 20782824389. The next prime is 20782824443. The reversal of 20782824390 is 9342828702.

20782824390 is a `hidden beast` number, since 207 + 8 + 2 + 8 + 2 + 439 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1715394 + ... + 1727466.

It is an arithmetic number, because the mean of its divisors is an integer number (582015096).

Almost surely, 2^20782824390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20782824390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27936724608).

20782824390 is an abundant number, since it is smaller than the sum of its proper divisors (35090624826).

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

20782824390 is a wasteful number, since it uses less digits than its factorization.

20782824390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12734 (or 12731 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20782824390 in words is "twenty billion, seven hundred eighty-two million, eight hundred twenty-four thousand, three hundred ninety".