27146320908 has 192 divisors, whose sum is σ = 79171706880. Its totient is φ = 7066483200.

The previous prime is 27146320907. The next prime is 27146320909. The reversal of 27146320908 is 80902364172.

It is an interprime number because it is at equal distance from previous prime (27146320907) and next prime (27146320909).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 27146320908.

It is not an unprimeable number, because it can be changed into a prime (27146320907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4643035 + ... + 4648877.

It is an arithmetic number, because the mean of its divisors is an integer number (412352640).

Almost surely, 2^27146320908 is an apocalyptic number.

27146320908 is a gapful number since it is divisible by the number (28) 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 27146320908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39585853440).

27146320908 is an abundant number, since it is smaller than the sum of its proper divisors (52025385972).

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

27146320908 is a wasteful number, since it uses less digits than its factorization.

27146320908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 27146320908 in words is "twenty-seven billion, one hundred forty-six million, three hundred twenty thousand, nine hundred eight".