20775170304 has 720 divisors, whose sum is σ = 77244231680. Its totient is φ = 5441955840.

The previous prime is 20775170291. The next prime is 20775170341. The reversal of 20775170304 is 40307157702.

It is a super-3 number, since 3×20775170304³ (a number of 32 digits) contains 333 as substring.

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 79 ways as a sum of consecutive naturals, for example, 670166769 + ... + 670166799.

Almost surely, 2^20775170304 is an apocalyptic number.

20775170304 is a gapful number since it is divisible by the number (24) 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 20775170304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38622115840).

20775170304 is an abundant number, since it is smaller than the sum of its proper divisors (56469061376).

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

20775170304 is an frugal number, since it uses more digits than its factorization.

20775170304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 20775170304 in words is "twenty billion, seven hundred seventy-five million, one hundred seventy thousand, three hundred four".