27829192748016 has 120 divisors (see below), whose sum is σ = 79125726535632. Its totient is φ = 8422005785600.

The previous prime is 27829192747987. The next prime is 27829192748101. The reversal of 27829192748016 is 61084729192872.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1271710 + ... + 7568066.

Almost surely, 2^{27829192748016} 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 27829192748016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39562863267816).

27829192748016 is an abundant number, since it is smaller than the sum of its proper divisors (51296533787616).

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

27829192748016 is a wasteful number, since it uses less digits than its factorization.

27829192748016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297151 (or 6297134 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 27829192748016 in words is "twenty-seven trillion, eight hundred twenty-nine billion, one hundred ninety-two million, seven hundred forty-eight thousand, sixteen".