27902714112 has 1008 divisors, whose sum is σ = 108094307328. Its totient is φ = 6987202560.

The previous prime is 27902714107. The next prime is 27902714113. The reversal of 27902714112 is 21141720972.

27902714112 is a `hidden beast` number, since 279 + 0 + 271 + 4 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×27902714112² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27902714113) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 526466278 + ... + 526466330.

It is an arithmetic number, because the mean of its divisors is an integer number (107236416).

Almost surely, 2^27902714112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27902714112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54047153664).

27902714112 is an abundant number, since it is smaller than the sum of its proper divisors (80191593216).

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

27902714112 is an equidigital number, since it uses as much as digits as its factorization.

27902714112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 27902714112 in words is "twenty-seven billion, nine hundred two million, seven hundred fourteen thousand, one hundred twelve".