27834145920 has 384 divisors, whose sum is σ = 110429280000. Its totient is φ = 6328295424.

The previous prime is 27834145901. The next prime is 27834145921. The reversal of 27834145920 is 2954143872.

27834145920 is a `hidden beast` number, since 27 + 8 + 34 + 1 + 4 + 592 + 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 (45).

It is not an unprimeable number, because it can be changed into a prime (27834145921) 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, 8021946 + ... + 8025414.

It is an arithmetic number, because the mean of its divisors is an integer number (287576250).

Almost surely, 2^27834145920 is an apocalyptic number.

27834145920 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 27834145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55214640000).

27834145920 is an abundant number, since it is smaller than the sum of its proper divisors (82595134080).

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

27834145920 is a wasteful number, since it uses less digits than its factorization.

27834145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27834145920 in words is "twenty-seven billion, eight hundred thirty-four million, one hundred forty-five thousand, nine hundred twenty".