27979845120 has 320 divisors, whose sum is σ = 99747901440. Its totient is φ = 7434215424.

The previous prime is 27979845083. The next prime is 27979845121. The reversal of 27979845120 is 2154897972.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27979845121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25366489 + ... + 25367591.

It is an arithmetic number, because the mean of its divisors is an integer number (311712192).

Almost surely, 2^27979845120 is an apocalyptic number.

27979845120 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 27979845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49873950720).

27979845120 is an abundant number, since it is smaller than the sum of its proper divisors (71768056320).

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

27979845120 is a wasteful number, since it uses less digits than its factorization.

27979845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 27979845120 in words is "twenty-seven billion, nine hundred seventy-nine million, eight hundred forty-five thousand, one hundred twenty".