27912010752 has 352 divisors, whose sum is σ = 85600627200. Its totient is φ = 8980070400.

The previous prime is 27912010699. The next prime is 27912010769. The reversal of 27912010752 is 25701021972.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115817352 + ... + 115817592.

It is an arithmetic number, because the mean of its divisors is an integer number (243183600).

Almost surely, 2^27912010752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27912010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42800313600).

27912010752 is an abundant number, since it is smaller than the sum of its proper divisors (57688616448).

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

27912010752 is a wasteful number, since it uses less digits than its factorization.

27912010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 27912010752 in words is "twenty-seven billion, nine hundred twelve million, ten thousand, seven hundred fifty-two".