27354983040 has 1440 divisors, whose sum is σ = 126312347700. Its totient is φ = 5620285440.

The previous prime is 27354983039. The next prime is 27354983053. The reversal of 27354983040 is 4038945372.

27354983040 is a `hidden beast` number, since 2 + 73 + 549 + 8 + 30 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25848922176 + 1506060864 = 160776^2 + 38808^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 307359316 + ... + 307359404.

Almost surely, 2^27354983040 is an apocalyptic number.

27354983040 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 27354983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63156173850).

27354983040 is an abundant number, since it is smaller than the sum of its proper divisors (98957364660).

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

27354983040 is a wasteful number, since it uses less digits than its factorization.

27354983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27354983040 in words is "twenty-seven billion, three hundred fifty-four million, nine hundred eighty-three thousand, forty".