27904497540192 has 480 divisors, whose sum is σ = 106946211822912. Its totient is φ = 6926519402496.

The previous prime is 27904497540191. The next prime is 27904497540319. The reversal of 27904497540192 is 29104579440972.

27904497540192 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 4 + 497 + 54 + 0 + 1 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27904497540191) 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 79 ways as a sum of consecutive naturals, for example, 530308 + ... + 7489340.

Almost surely, 2^{27904497540192} 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 27904497540192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53473105911456).

27904497540192 is an abundant number, since it is smaller than the sum of its proper divisors (79041714282720).

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

27904497540192 is a wasteful number, since it uses less digits than its factorization.

27904497540192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959092 (or 6959075 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 27904497540192 in words is "twenty-seven trillion, nine hundred four billion, four hundred ninety-seven million, five hundred forty thousand, one hundred ninety-two".