27425197800 has 1152 divisors, whose sum is σ = 127911813120. Its totient is φ = 5080320000.

The previous prime is 27425197763. The next prime is 27425197817. The reversal of 27425197800 is 879152472.

It is a happy number.

27425197800 is a `hidden beast` number, since 27 + 42 + 519 + 78 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 55855555 + ... + 55856045.

It is an arithmetic number, because the mean of its divisors is an integer number (111034560).

Almost surely, 2^27425197800 is an apocalyptic number.

27425197800 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 27425197800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63955906560).

27425197800 is an abundant number, since it is smaller than the sum of its proper divisors (100486615320).

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

27425197800 is a wasteful number, since it uses less digits than its factorization.

27425197800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 27425197800 in words is "twenty-seven billion, four hundred twenty-five million, one hundred ninety-seven thousand, eight hundred".