6533912540160 has 1056 divisors, whose sum is σ = 25156821680640. Its totient is φ = 1559626776576.

The previous prime is 6533912540149. The next prime is 6533912540179. The reversal of 6533912540160 is 610452193356.

6533912540160 is a `hidden beast` number, since 6 + 5 + 3 + 3 + 91 + 2 + 540 + 16 + 0 = 666.

It is a super-2 number, since 2×6533912540160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3477334101 + ... + 3477335979.

Almost surely, 2^{6533912540160} is an apocalyptic number.

6533912540160 is a gapful number since it is divisible by the number (60) 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 6533912540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578410840320).

6533912540160 is an abundant number, since it is smaller than the sum of its proper divisors (18622909140480).

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

6533912540160 is a wasteful number, since it uses less digits than its factorization.

6533912540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 6533912540160 in words is "six trillion, five hundred thirty-three billion, nine hundred twelve million, five hundred forty thousand, one hundred sixty".