20526528480 has 384 divisors, whose sum is σ = 71572709376. Its totient is φ = 4926873600.

The previous prime is 20526528479. The next prime is 20526528493. The reversal of 20526528480 is 8482562502.

It is a super-2 number, since 2×20526528480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12662070 + ... + 12663690.

It is an arithmetic number, because the mean of its divisors is an integer number (186387264).

Almost surely, 2^20526528480 is an apocalyptic number.

20526528480 is a gapful number since it is divisible by the number (20) 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 20526528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35786354688).

20526528480 is an abundant number, since it is smaller than the sum of its proper divisors (51046180896).

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

20526528480 is a wasteful number, since it uses less digits than its factorization.

20526528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 20526528480 in words is "twenty billion, five hundred twenty-six million, five hundred twenty-eight thousand, four hundred eighty".