27099249840 has 800 divisors, whose sum is σ = 108893030400. Its totient is φ = 6186958848.

The previous prime is 27099249811. The next prime is 27099249847. The reversal of 27099249840 is 4894299072.

27099249840 is a `hidden beast` number, since 27 + 0 + 9 + 92 + 498 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27099249847) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 181874086 + ... + 181874234.

It is an arithmetic number, because the mean of its divisors is an integer number (136116288).

Almost surely, 2^27099249840 is an apocalyptic number.

27099249840 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 27099249840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54446515200).

27099249840 is an abundant number, since it is smaller than the sum of its proper divisors (81793780560).

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

27099249840 is a wasteful number, since it uses less digits than its factorization.

27099249840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 27099249840 in words is "twenty-seven billion, ninety-nine million, two hundred forty-nine thousand, eight hundred forty".