6541258232880 has 960 divisors, whose sum is σ = 27058028175360. Its totient is φ = 1436921192448.

The previous prime is 6541258232879. The next prime is 6541258232893. The reversal of 6541258232880 is 882328521456.

6541258232880 is a `hidden beast` number, since 6 + 54 + 1 + 2 + 582 + 3 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 880025644 + ... + 880033076.

It is an arithmetic number, because the mean of its divisors is an integer number (28185446016).

Almost surely, 2^{6541258232880} is an apocalyptic number.

6541258232880 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 6541258232880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529014087680).

6541258232880 is an abundant number, since it is smaller than the sum of its proper divisors (20516769942480).

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

6541258232880 is a wasteful number, since it uses less digits than its factorization.

6541258232880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7720 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 6541258232880 in words is "six trillion, five hundred forty-one billion, two hundred fifty-eight million, two hundred thirty-two thousand, eight hundred eighty".