270712090000 has 375 divisors, whose sum is σ = 738115067415. Its totient is φ = 96151440000.

The previous prime is 270712089961. The next prime is 270712090039. The reversal of 270712090000 is 90217072.

It is a happy number.

The square root of 270712090000 is 520300.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (270712089961) and next prime (270712090039).

It can be written as a sum of positive squares in 2 ways, for example, as 21223827856 + 249488262144 = 145684^2 + 499488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 6295629979 + ... + 6295630021.

Almost surely, 2^270712090000 is an apocalyptic number.

270712090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

270712090000 is the 520300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270712090000

270712090000 is an abundant number, since it is smaller than the sum of its proper divisors (467402977415).

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

270712090000 is an frugal number, since it uses more digits than its factorization.

270712090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

Multiplying 270712090000 by its product of nonzero digits (1764), we get a square (477536126760000 = 21852600²).

The spelling of 270712090000 in words is "two hundred seventy billion, seven hundred twelve million, ninety thousand".