20760075000 has 576 divisors, whose sum is σ = 82260360000. Its totient is φ = 4727520000.

The previous prime is 20760074987. The next prime is 20760075019. The reversal of 20760075000 is 57006702.

20760075000 is a `hidden beast` number, since 2 + 0 + 7 + 600 + 7 + 50 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77174866 + ... + 77175134.

It is an arithmetic number, because the mean of its divisors is an integer number (142813125).

Almost surely, 2^20760075000 is an apocalyptic number.

20760075000 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 20760075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41130180000).

20760075000 is an abundant number, since it is smaller than the sum of its proper divisors (61500285000).

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

20760075000 is an equidigital number, since it uses as much as digits as its factorization.

20760075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 20760075000 in words is "twenty billion, seven hundred sixty million, seventy-five thousand".