27879644651040 has 2880 divisors, whose sum is σ = 132582287642112. Its totient is φ = 5353988751360.

The previous prime is 27879644651029. The next prime is 27879644651087. The reversal of 27879644651040 is 4015644697872.

27879644651040 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 9 + 64 + 465 + 104 + 0 = 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 479 ways as a sum of consecutive naturals, for example, 19267203597 + ... + 19267205043.

Almost surely, 2^{27879644651040} is an apocalyptic number.

27879644651040 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 27879644651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66291143821056).

27879644651040 is an abundant number, since it is smaller than the sum of its proper divisors (104702642991072).

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

27879644651040 is a wasteful number, since it uses less digits than its factorization.

27879644651040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 27879644651040 in words is "twenty-seven trillion, eight hundred seventy-nine billion, six hundred forty-four million, six hundred fifty-one thousand, forty".