270003825000 has 576 divisors, whose sum is σ = 1125029243520. Its totient is φ = 56963520000.

The previous prime is 270003824999. The next prime is 270003825011. The reversal of 270003825000 is 528300072.

270003825000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20468407 + ... + 20481593.

It is an arithmetic number, because the mean of its divisors is an integer number (1953175770).

Almost surely, 2^270003825000 is an apocalyptic number.

270003825000 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 270003825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562514621760).

270003825000 is an abundant number, since it is smaller than the sum of its proper divisors (855025418520).

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

270003825000 is a wasteful number, since it uses less digits than its factorization.

270003825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13244 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 270003825000 in words is "two hundred seventy billion, three million, eight hundred twenty-five thousand".