27621142290 has 512 divisors, whose sum is σ = 92012544000. Its totient is φ = 5758283520.

The previous prime is 27621142279. The next prime is 27621142333. The reversal of 27621142290 is 9224112672.

27621142290 is a `hidden beast` number, since 2 + 7 + 621 + 1 + 4 + 2 + 29 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138799611 + ... + 138799809.

It is an arithmetic number, because the mean of its divisors is an integer number (179712000).

Almost surely, 2^27621142290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27621142290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46006272000).

27621142290 is an abundant number, since it is smaller than the sum of its proper divisors (64391401710).

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

27621142290 is a wasteful number, since it uses less digits than its factorization.

27621142290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 27621142290 in words is "twenty-seven billion, six hundred twenty-one million, one hundred forty-two thousand, two hundred ninety".