6530881996800 has 3456 divisors, whose sum is σ = 29809692057600. Its totient is φ = 1385496576000.

The previous prime is 6530881996789. The next prime is 6530881996823. The reversal of 6530881996800 is 86991880356.

6530881996800 is a `hidden beast` number, since 6 + 530 + 8 + 8 + 1 + 9 + 96 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×6530881996800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110692915171 + ... + 110692915229.

It is an arithmetic number, because the mean of its divisors is an integer number (8625489600).

Almost surely, 2^{6530881996800} is an apocalyptic number.

6530881996800 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 6530881996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14904846028800).

6530881996800 is an abundant number, since it is smaller than the sum of its proper divisors (23278810060800).

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

6530881996800 is a wasteful number, since it uses less digits than its factorization.

6530881996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 6530881996800 in words is "six trillion, five hundred thirty billion, eight hundred eighty-one million, nine hundred ninety-six thousand, eight hundred".