3125061656640 has 1344 divisors, whose sum is σ = 14172484085760. Its totient is φ = 634198118400.

The previous prime is 3125061656593. The next prime is 3125061656687. The reversal of 3125061656640 is 466561605213.

3125061656640 is a `hidden beast` number, since 3 + 1 + 25 + 0 + 61 + 6 + 566 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3125061656593) and next prime (3125061656687).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 314672475 + ... + 314682405.

It is an arithmetic number, because the mean of its divisors is an integer number (10545003040).

Almost surely, 2^{3125061656640} is an apocalyptic number.

3125061656640 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 3125061656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086242042880).

3125061656640 is an abundant number, since it is smaller than the sum of its proper divisors (11047422429120).

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

3125061656640 is a wasteful number, since it uses less digits than its factorization.

3125061656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10029 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3125061656640 in words is "three trillion, one hundred twenty-five billion, sixty-one million, six hundred fifty-six thousand, six hundred forty".