27250431981120 has 448 divisors, whose sum is σ = 96937066536960. Its totient is φ = 7206093103104.

The previous prime is 27250431981103. The next prime is 27250431981151. The reversal of 27250431981120 is 2118913405272.

27250431981120 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 0 + 431 + 98 + 1 + 120 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2937413922 + ... + 2937423198.

Almost surely, 2^{27250431981120} is an apocalyptic number.

27250431981120 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 27250431981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48468533268480).

27250431981120 is an abundant number, since it is smaller than the sum of its proper divisors (69686634555840).

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

27250431981120 is a wasteful number, since it uses less digits than its factorization.

27250431981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12107 (or 12091 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 27250431981120 in words is "twenty-seven trillion, two hundred fifty billion, four hundred thirty-one million, nine hundred eighty-one thousand, one hundred twenty".