8151685389792 has 480 divisors, whose sum is σ = 29575873958400. Its totient is φ = 2150966264832.

The previous prime is 8151685389721. The next prime is 8151685389797. The reversal of 8151685389792 is 2979835861518.

8151685389792 is a `hidden beast` number, since 8 + 1 + 5 + 16 + 8 + 538 + 9 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8151685389792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8151685389797) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11765259 + ... + 12438837.

It is an arithmetic number, because the mean of its divisors is an integer number (61616404080).

Almost surely, 2^{8151685389792} 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 8151685389792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787936979200).

8151685389792 is an abundant number, since it is smaller than the sum of its proper divisors (21424188568608).

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

8151685389792 is a wasteful number, since it uses less digits than its factorization.

8151685389792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673660 (or 673643 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 72.

The spelling of 8151685389792 in words is "eight trillion, one hundred fifty-one billion, six hundred eighty-five million, three hundred eighty-nine thousand, seven hundred ninety-two".