27714741120 has 384 divisors, whose sum is σ = 105386767200. Its totient is φ = 6655426560.

The previous prime is 27714741101. The next prime is 27714741127. The reversal of 27714741120 is 2114741772.

It is a happy number.

27714741120 is a `hidden beast` number, since 2 + 7 + 71 + 474 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27714741127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6904234 + ... + 6908246.

Almost surely, 2^27714741120 is an apocalyptic number.

27714741120 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 27714741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52693383600).

27714741120 is an abundant number, since it is smaller than the sum of its proper divisors (77672026080).

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

27714741120 is a wasteful number, since it uses less digits than its factorization.

27714741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 27714741120 in words is "twenty-seven billion, seven hundred fourteen million, seven hundred forty-one thousand, one hundred twenty".