27122215680 has 432 divisors, whose sum is σ = 107685474624. Its totient is φ = 6173982720.

The previous prime is 27122215669. The next prime is 27122215697. The reversal of 27122215680 is 8651222172.

It is a happy number.

27122215680 is a `hidden beast` number, since 2 + 71 + 2 + 2 + 21 + 568 + 0 = 666.

It is a super-2 number, since 2×27122215680² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 25562350 + ... + 25563410.

It is an arithmetic number, because the mean of its divisors is an integer number (249271932).

Almost surely, 2^27122215680 is an apocalyptic number.

27122215680 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 27122215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53842737312).

27122215680 is an abundant number, since it is smaller than the sum of its proper divisors (80563258944).

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

27122215680 is a wasteful number, since it uses less digits than its factorization.

27122215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 27122215680 in words is "twenty-seven billion, one hundred twenty-two million, two hundred fifteen thousand, six hundred eighty".