827142701710374 has 128 divisors (see below), whose sum is σ = 2130776612398080. Its totient is φ = 232944617947392.

The previous prime is 827142701710361. The next prime is 827142701710427. The reversal of 827142701710374 is 473017107241728.

827142701710374 is a `hidden beast` number, since 8 + 27 + 14 + 2 + 70 + 171 + 0 + 374 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 827142701710374.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35217289 + ... + 53800955.

It is an arithmetic number, because the mean of its divisors is an integer number (16646692284360).

Almost surely, 2^{827142701710374} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827142701710374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065388306199040).

827142701710374 is an abundant number, since it is smaller than the sum of its proper divisors (1303633910687706).

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

827142701710374 is a wasteful number, since it uses less digits than its factorization.

827142701710374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18585371 (or 18585365 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 827142701710374 in words is "eight hundred twenty-seven trillion, one hundred forty-two billion, seven hundred one million, seven hundred ten thousand, three hundred seventy-four".