21039076270080 has 1792 divisors, whose sum is σ = 86098101534720. Its totient is φ = 4826765721600.

The previous prime is 21039076270061. The next prime is 21039076270109. The reversal of 21039076270080 is 8007267093012.

21039076270080 is a `hidden beast` number, since 2 + 10 + 3 + 9 + 0 + 7 + 627 + 0 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17724579247 + ... + 17724580433.

Almost surely, 2^{21039076270080} is an apocalyptic number.

21039076270080 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 21039076270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43049050767360).

21039076270080 is an abundant number, since it is smaller than the sum of its proper divisors (65059025264640).

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

21039076270080 is a wasteful number, since it uses less digits than its factorization.

21039076270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 21039076270080 in words is "twenty-one trillion, thirty-nine billion, seventy-six million, two hundred seventy thousand, eighty".