27090455040 has 480 divisors, whose sum is σ = 103221518400. Its totient is φ = 6511656960.

The previous prime is 27090454997. The next prime is 27090455053. The reversal of 27090455040 is 4055409072.

27090455040 is a `hidden beast` number, since 27 + 0 + 90 + 45 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×27090455040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27090454986 and 27090455004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35227776 + ... + 35228544.

It is an arithmetic number, because the mean of its divisors is an integer number (215044830).

Almost surely, 2^27090455040 is an apocalyptic number.

27090455040 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 27090455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51610759200).

27090455040 is an abundant number, since it is smaller than the sum of its proper divisors (76131063360).

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

27090455040 is a wasteful number, since it uses less digits than its factorization.

27090455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 27090455040 in words is "twenty-seven billion, ninety million, four hundred fifty-five thousand, forty".