27151200240 has 40 divisors (see below), whose sum is σ = 84168721488. Its totient is φ = 7240320000.

The previous prime is 27151200233. The next prime is 27151200247. The reversal of 27151200240 is 4200215172.

It is an interprime number because it is at equal distance from previous prime (27151200233) and next prime (27151200247).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 27151200240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27151200247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56564761 + ... + 56565240.

Almost surely, 2^27151200240 is an apocalyptic number.

27151200240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27151200240 is an abundant number, since it is smaller than the sum of its proper divisors (57017521248).

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

27151200240 is a wasteful number, since it uses less digits than its factorization.

27151200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113130017 (or 113130011 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 27151200240 in words is "twenty-seven billion, one hundred fifty-one million, two hundred thousand, two hundred forty".