20735975280 has 80 divisors (see below), whose sum is σ = 67664776320. Its totient is φ = 5238561024.

The previous prime is 20735975201. The next prime is 20735975287. The reversal of 20735975280 is 8257953702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20735975287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2269122 + ... + 2278241.

It is an arithmetic number, because the mean of its divisors is an integer number (845809704).

Almost surely, 2^20735975280 is an apocalyptic number.

20735975280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20735975280 is an abundant number, since it is smaller than the sum of its proper divisors (46928801040).

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

20735975280 is a wasteful number, since it uses less digits than its factorization.

20735975280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547398 (or 4547392 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 20735975280 in words is "twenty billion, seven hundred thirty-five million, nine hundred seventy-five thousand, two hundred eighty".