27490119552 has 576 divisors, whose sum is σ = 101137785840. Its totient is φ = 7385333760.

The previous prime is 27490119539. The next prime is 27490119583. The reversal of 27490119552 is 25591109472.

27490119552 is a `hidden beast` number, since 2 + 7 + 4 + 90 + 1 + 1 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 27490119498 and 27490119507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25909102 + ... + 25910162.

Almost surely, 2^27490119552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27490119552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50568892920).

27490119552 is an abundant number, since it is smaller than the sum of its proper divisors (73647666288).

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

27490119552 is a wasteful number, since it uses less digits than its factorization.

27490119552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 27490119552 in words is "twenty-seven billion, four hundred ninety million, one hundred nineteen thousand, five hundred fifty-two".