27976106504808 has 768 divisors, whose sum is σ = 98828481024000. Its totient is φ = 6936949555200.

The previous prime is 27976106504783. The next prime is 27976106504851. The reversal of 27976106504808 is 80840560167972.

27976106504808 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 610 + 6 + 5 + 0 + 4 + 8 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5743398613 + ... + 5743403483.

It is an arithmetic number, because the mean of its divisors is an integer number (128682918000).

Almost surely, 2^{27976106504808} is an apocalyptic number.

27976106504808 is a gapful number since it is divisible by the number (28) 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 27976106504808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49414240512000).

27976106504808 is an abundant number, since it is smaller than the sum of its proper divisors (70852374519192).

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

27976106504808 is a wasteful number, since it uses less digits than its factorization.

27976106504808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 27976106504808 in words is "twenty-seven trillion, nine hundred seventy-six billion, one hundred six million, five hundred four thousand, eight hundred eight".