27196342427520 has 1152 divisors, whose sum is σ = 113416535232000. Its totient is φ = 6209428377600.

The previous prime is 27196342427459. The next prime is 27196342427591. The reversal of 27196342427520 is 2572424369172.

27196342427520 is a `hidden beast` number, since 2 + 7 + 1 + 9 + 6 + 342 + 4 + 275 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10661050245 + ... + 10661052795.

It is an arithmetic number, because the mean of its divisors is an integer number (98451853500).

Almost surely, 2^{27196342427520} is an apocalyptic number.

27196342427520 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 27196342427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56708267616000).

27196342427520 is an abundant number, since it is smaller than the sum of its proper divisors (86220192804480).

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

27196342427520 is a wasteful number, since it uses less digits than its factorization.

27196342427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 27196342427520 in words is "twenty-seven trillion, one hundred ninety-six billion, three hundred forty-two million, four hundred twenty-seven thousand, five hundred twenty".