27401716331752 has 48 divisors (see below), whose sum is σ = 62912103840000. Its totient is φ = 11125508883552.

The previous prime is 27401716331683. The next prime is 27401716331767. The reversal of 27401716331752 is 25713361710472.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 27401716331696 and 27401716331705.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839527752 + ... + 1839542647.

It is an arithmetic number, because the mean of its divisors is an integer number (1310668830000).

Almost surely, 2^{27401716331752} is an apocalyptic number.

It is an amenable number.

27401716331752 is an abundant number, since it is smaller than the sum of its proper divisors (35510387508248).

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

27401716331752 is a wasteful number, since it uses less digits than its factorization.

27401716331752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679070438 (or 3679070427 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 27401716331752 in words is "twenty-seven trillion, four hundred one billion, seven hundred sixteen million, three hundred thirty-one thousand, seven hundred fifty-two".