27147970800 has 480 divisors, whose sum is σ = 100079308800. Its totient is φ = 6985405440.

The previous prime is 27147970793. The next prime is 27147970823. The reversal of 27147970800 is 807974172.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40100062 + ... + 40100738.

It is an arithmetic number, because the mean of its divisors is an integer number (208498560).

Almost surely, 2^27147970800 is an apocalyptic number.

27147970800 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 27147970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50039654400).

27147970800 is an abundant number, since it is smaller than the sum of its proper divisors (72931338000).

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

27147970800 is a wasteful number, since it uses less digits than its factorization.

27147970800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 27147970800 in words is "twenty-seven billion, one hundred forty-seven million, nine hundred seventy thousand, eight hundred".