6541260621456 has 120 divisors (see below), whose sum is σ = 18606655299232. Its totient is φ = 1978727731200.

The previous prime is 6541260621437. The next prime is 6541260621457.

It is a happy number.

6541260621456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6541260621457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2330160 + ... + 4302576.

Almost surely, 2^{6541260621456} is an apocalyptic number.

6541260621456 is a gapful number since it is divisible by the number (66) 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 6541260621456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303327649616).

6541260621456 is an abundant number, since it is smaller than the sum of its proper divisors (12065394677776).

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

6541260621456 is a wasteful number, since it uses less digits than its factorization.

6541260621456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973021 (or 1973004 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 6541260621456 in words is "six trillion, five hundred forty-one billion, two hundred sixty million, six hundred twenty-one thousand, four hundred fifty-six".