27908375040 has 1920 divisors, whose sum is σ = 135126351360. Its totient is φ = 5350883328.

The previous prime is 27908375021. The next prime is 27908375081. The reversal of 27908375040 is 4057380972.

27908375040 is a `hidden beast` number, since 27 + 90 + 8 + 37 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 962357746 + ... + 962357774.

It is an arithmetic number, because the mean of its divisors is an integer number (70378308).

Almost surely, 2^27908375040 is an apocalyptic number.

27908375040 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 27908375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67563175680).

27908375040 is an abundant number, since it is smaller than the sum of its proper divisors (107217976320).

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

27908375040 is a wasteful number, since it uses less digits than its factorization.

27908375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27908375040 in words is "twenty-seven billion, nine hundred eight million, three hundred seventy-five thousand, forty".