20357282880 has 280 divisors, whose sum is σ = 78998673600. Its totient is φ = 4935029760.

The previous prime is 20357282873. The next prime is 20357282921. The reversal of 20357282880 is 8828275302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 249421 + ... + 320819.

It is an arithmetic number, because the mean of its divisors is an integer number (282138120).

Almost surely, 2^20357282880 is an apocalyptic number.

20357282880 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 20357282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39499336800).

20357282880 is an abundant number, since it is smaller than the sum of its proper divisors (58641390720).

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

20357282880 is a wasteful number, since it uses less digits than its factorization.

20357282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71439 (or 71420 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 20357282880 in words is "twenty billion, three hundred fifty-seven million, two hundred eighty-two thousand, eight hundred eighty".