27133725520 has 160 divisors (see below), whose sum is σ = 69915525120. Its totient is φ = 9710737920.

The previous prime is 27133725511. The next prime is 27133725529. The reversal of 27133725520 is 2552733172.

It is an interprime number because it is at equal distance from previous prime (27133725511) and next prime (27133725529).

It is a self number, because there is not a number n which added to its sum of digits gives 27133725520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27133725529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42198319 + ... + 42198961.

It is an arithmetic number, because the mean of its divisors is an integer number (436972032).

Almost surely, 2^27133725520 is an apocalyptic number.

27133725520 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 27133725520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34957762560).

27133725520 is an abundant number, since it is smaller than the sum of its proper divisors (42781799600).

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

27133725520 is a wasteful number, since it uses less digits than its factorization.

27133725520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The spelling of 27133725520 in words is "twenty-seven billion, one hundred thirty-three million, seven hundred twenty-five thousand, five hundred twenty".