27120376890 has 192 divisors, whose sum is σ = 74643379200. Its totient is φ = 6822047232.

The previous prime is 27120376859. The next prime is 27120376897. The reversal of 27120376890 is 9867302172.

27120376890 is a `hidden beast` number, since 271 + 2 + 0 + 376 + 8 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27120376897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21236932 + ... + 21238208.

It is an arithmetic number, because the mean of its divisors is an integer number (388767600).

Almost surely, 2^27120376890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27120376890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37321689600).

27120376890 is an abundant number, since it is smaller than the sum of its proper divisors (47523002310).

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

27120376890 is a wasteful number, since it uses less digits than its factorization.

27120376890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27120376890 in words is "twenty-seven billion, one hundred twenty million, three hundred seventy-six thousand, eight hundred ninety".