20782524672 has 1152 divisors, whose sum is σ = 83512934400. Its totient is φ = 4944789504.

The previous prime is 20782524583. The next prime is 20782524677. The reversal of 20782524672 is 27642528702.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×20782524672³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20782524677) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 442181353 + ... + 442181399.

Almost surely, 2^20782524672 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 20782524672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41756467200).

20782524672 is an abundant number, since it is smaller than the sum of its proper divisors (62730409728).

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

20782524672 is a wasteful number, since it uses less digits than its factorization.

20782524672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20782524672 in words is "twenty billion, seven hundred eighty-two million, five hundred twenty-four thousand, six hundred seventy-two".