20725822080 has 512 divisors, whose sum is σ = 77332320000. Its totient is φ = 5238374400.

The previous prime is 20725822067. The next prime is 20725822099. The reversal of 20725822080 is 8022852702.

20725822080 is a `hidden beast` number, since 2 + 0 + 72 + 582 + 2 + 0 + 8 + 0 = 666.

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

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, 29565730 + ... + 29566430.

Almost surely, 2^20725822080 is an apocalyptic number.

20725822080 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 20725822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38666160000).

20725822080 is an abundant number, since it is smaller than the sum of its proper divisors (56606497920).

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

20725822080 is a wasteful number, since it uses less digits than its factorization.

20725822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 20725822080 in words is "twenty billion, seven hundred twenty-five million, eight hundred twenty-two thousand, eighty".