8160460035552 has 768 divisors, whose sum is σ = 27743651712000. Its totient is φ = 2336413040640.

The previous prime is 8160460035493. The next prime is 8160460035583. The reversal of 8160460035552 is 2555300640618.

8160460035552 is a `hidden beast` number, since 8 + 1 + 6 + 0 + 4 + 60 + 0 + 35 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8160460035498 and 8160460035507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9843739074 + ... + 9843739902.

It is an arithmetic number, because the mean of its divisors is an integer number (36124546500).

Almost surely, 2^{8160460035552} 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 8160460035552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871825856000).

8160460035552 is an abundant number, since it is smaller than the sum of its proper divisors (19583191676448).

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

8160460035552 is a wasteful number, since it uses less digits than its factorization.

8160460035552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 8160460035552 in words is "eight trillion, one hundred sixty billion, four hundred sixty million, thirty-five thousand, five hundred fifty-two".