20528182080 has 448 divisors, whose sum is σ = 83428392960. Its totient is φ = 4654540800.

The previous prime is 20528182061. The next prime is 20528182093. The reversal of 20528182080 is 8028182502.

It is a happy number.

20528182080 is a `hidden beast` number, since 20 + 528 + 18 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7921585 + ... + 7924175.

Almost surely, 2^20528182080 is an apocalyptic number.

20528182080 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 20528182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41714196480).

20528182080 is an abundant number, since it is smaller than the sum of its proper divisors (62900210880).

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

20528182080 is a wasteful number, since it uses less digits than its factorization.

20528182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 20528182080 in words is "twenty billion, five hundred twenty-eight million, one hundred eighty-two thousand, eighty".