27816167345920 has 72 divisors (see below), whose sum is σ = 70135172004240. Its totient is φ = 10540863406080.

The previous prime is 27816167345909. The next prime is 27816167345927. The reversal of 27816167345920 is 2954376161872.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27816167345927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571854121 + ... + 571902760.

It is an arithmetic number, because the mean of its divisors is an integer number (974099611170).

It is a 1-persistent number, because it is pandigital, but 2⋅27816167345920 = 55632334691840 is not.

Almost surely, 2^{27816167345920} is an apocalyptic number.

27816167345920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27816167345920 is an abundant number, since it is smaller than the sum of its proper divisors (42319004658320).

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

27816167345920 is a wasteful number, since it uses less digits than its factorization.

27816167345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143756921 (or 1143756907 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 27816167345920 in words is "twenty-seven trillion, eight hundred sixteen billion, one hundred sixty-seven million, three hundred forty-five thousand, nine hundred twenty".