27252288000 has 800 divisors, whose sum is σ = 116169850368. Its totient is φ = 6220800000.

The previous prime is 27252287969. The next prime is 27252288061. The reversal of 27252288000 is 88225272.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36287625 + ... + 36288375.

Almost surely, 2^27252288000 is an apocalyptic number.

27252288000 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 27252288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58084925184).

27252288000 is an abundant number, since it is smaller than the sum of its proper divisors (88917562368).

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

27252288000 is an frugal number, since it uses more digits than its factorization.

27252288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 27252288000 in words is "twenty-seven billion, two hundred fifty-two million, two hundred eighty-eight thousand".