8156493084960 has 2304 divisors, whose sum is σ = 35513875353600. Its totient is φ = 1737179136000.

The previous prime is 8156493084959. The next prime is 8156493085007. The reversal of 8156493084960 is 694803946518.

8156493084960 is a `hidden beast` number, since 8 + 1 + 5 + 6 + 493 + 0 + 84 + 9 + 60 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7988729250 + ... + 7988730270.

It is an arithmetic number, because the mean of its divisors is an integer number (15414008400).

Almost surely, 2^{8156493084960} is an apocalyptic number.

8156493084960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8156493084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756937676800).

8156493084960 is an abundant number, since it is smaller than the sum of its proper divisors (27357382268640).

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

8156493084960 is a wasteful number, since it uses less digits than its factorization.

8156493084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 8156493084960 in words is "eight trillion, one hundred fifty-six billion, four hundred ninety-three million, eighty-four thousand, nine hundred sixty".