8505378130032 has 400 divisors, whose sum is σ = 29623009363200. Its totient is φ = 2301544212480.

The previous prime is 8505378130019. The next prime is 8505378130049. The reversal of 8505378130032 is 2300318735058.

8505378130032 is a `hidden beast` number, since 8 + 5 + 0 + 537 + 81 + 3 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×8505378130032² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8505378130032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1036099944 + ... + 1036108152.

It is an arithmetic number, because the mean of its divisors is an integer number (74057523408).

Almost surely, 2^{8505378130032} 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 8505378130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811504681600).

8505378130032 is an abundant number, since it is smaller than the sum of its proper divisors (21117631233168).

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

8505378130032 is a wasteful number, since it uses less digits than its factorization.

8505378130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14266 (or 14251 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 8505378130032 in words is "eight trillion, five hundred five billion, three hundred seventy-eight million, one hundred thirty thousand, thirty-two".