27880525800 has 288 divisors, whose sum is σ = 98248949760. Its totient is φ = 7076160000.

The previous prime is 27880525781. The next prime is 27880525811. The reversal of 27880525800 is 852508872.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3399705 + ... + 3407895.

Almost surely, 2^27880525800 is an apocalyptic number.

27880525800 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 27880525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49124474880).

27880525800 is an abundant number, since it is smaller than the sum of its proper divisors (70368423960).

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

27880525800 is a wasteful number, since it uses less digits than its factorization.

27880525800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 27880525800 in words is "twenty-seven billion, eight hundred eighty million, five hundred twenty-five thousand, eight hundred".