6530005572480 has 1024 divisors, whose sum is σ = 26416309248000. Its totient is φ = 1512221736960.

The previous prime is 6530005572473. The next prime is 6530005572491. The reversal of 6530005572480 is 842755000356.

6530005572480 is a `hidden beast` number, since 6 + 5 + 30 + 0 + 0 + 5 + 572 + 48 + 0 = 666.

It is a super-3 number, since 3×6530005572480³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315159561 + ... + 315180279.

It is an arithmetic number, because the mean of its divisors is an integer number (25797177000).

Almost surely, 2^{6530005572480} is an apocalyptic number.

6530005572480 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 6530005572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208154624000).

6530005572480 is an abundant number, since it is smaller than the sum of its proper divisors (19886303675520).

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

6530005572480 is a wasteful number, since it uses less digits than its factorization.

6530005572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20844 (or 20826 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 6530005572480 in words is "six trillion, five hundred thirty billion, five million, five hundred seventy-two thousand, four hundred eighty".