3135610260480 has 352 divisors, whose sum is σ = 10483742269440. Its totient is φ = 798937251840.

The previous prime is 3135610260479. The next prime is 3135610260499. The reversal of 3135610260480 is 840620165313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37574962 + ... + 37658318.

It is an arithmetic number, because the mean of its divisors is an integer number (29783358720).

Almost surely, 2^{3135610260480} is an apocalyptic number.

3135610260480 is a gapful number since it is divisible by the number (30) 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 3135610260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241871134720).

3135610260480 is an abundant number, since it is smaller than the sum of its proper divisors (7348132008960).

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

3135610260480 is a wasteful number, since it uses less digits than its factorization.

3135610260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83495 (or 83477 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 3135610260480 in words is "three trillion, one hundred thirty-five billion, six hundred ten million, two hundred sixty thousand, four hundred eighty".