27905376096 has 240 divisors, whose sum is σ = 88911378864. Its totient is φ = 8534854656.

The previous prime is 27905376067. The next prime is 27905376097. The reversal of 27905376096 is 69067350972.

27905376096 is a `hidden beast` number, since 27 + 9 + 0 + 5 + 3 + 7 + 609 + 6 = 666.

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 (27905376097) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5827015 + ... + 5831801.

Almost surely, 2^27905376096 is an apocalyptic number.

27905376096 is a gapful number since it is divisible by the number (26) 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 27905376096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44455689432).

27905376096 is an abundant number, since it is smaller than the sum of its proper divisors (61006002768).

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

27905376096 is a wasteful number, since it uses less digits than its factorization.

27905376096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 27905376096 in words is "twenty-seven billion, nine hundred five million, three hundred seventy-six thousand, ninety-six".