6131255316480 has 3276 divisors, whose sum is σ = 28199591952660. Its totient is φ = 1273510232064.

The previous prime is 6131255316479. The next prime is 6131255316547. The reversal of 6131255316480 is 846135521316.

6131255316480 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 2 + 553 + 16 + 4 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 337105649664 + 5794149666816 = 580608^2 + 2407104^2 .

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 polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 211422597106 + ... + 211422597134.

Almost surely, 2^{6131255316480} is an apocalyptic number.

6131255316480 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 6131255316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099795976330).

6131255316480 is an abundant number, since it is smaller than the sum of its proper divisors (22068336636180).

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

6131255316480 is an equidigital number, since it uses as much as digits as its factorization.

6131255316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 6131255316480 in words is "six trillion, one hundred thirty-one billion, two hundred fifty-five million, three hundred sixteen thousand, four hundred eighty".