5031306132480 has 1056 divisors, whose sum is σ = 18968320800000. Its totient is φ = 1228919537664.

The previous prime is 5031306132473. The next prime is 5031306132487. The reversal of 5031306132480 is 842316031305.

5031306132480 is a `hidden beast` number, since 5 + 0 + 3 + 1 + 30 + 613 + 2 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5031306132473) and next prime (5031306132487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5031306132487) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4028266896 + ... + 4028268144.

It is an arithmetic number, because the mean of its divisors is an integer number (17962425000).

Almost surely, 2^{5031306132480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5031306132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484160400000).

5031306132480 is an abundant number, since it is smaller than the sum of its proper divisors (13937014667520).

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

5031306132480 is a wasteful number, since it uses less digits than its factorization.

5031306132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 5031306132480 in words is "five trillion, thirty-one billion, three hundred six million, one hundred thirty-two thousand, four hundred eighty".