27877893120 has 1232 divisors, whose sum is σ = 126295118208. Its totient is φ = 5733089280.

The previous prime is 27877893103. The next prime is 27877893137. The reversal of 27877893120 is 2139877872.

It is an interprime number because it is at equal distance from previous prime (27877893103) and next prime (27877893137).

It is a tau number, because it is divible by the number of its divisors (1232).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 287400912 + ... + 287401008.

Almost surely, 2^27877893120 is an apocalyptic number.

27877893120 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 27877893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63147559104).

27877893120 is an abundant number, since it is smaller than the sum of its proper divisors (98417225088).

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

27877893120 is an equidigital number, since it uses as much as digits as its factorization.

27877893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 27877893120 in words is "twenty-seven billion, eight hundred seventy-seven million, eight hundred ninety-three thousand, one hundred twenty".