3126125899680 has 384 divisors, whose sum is σ = 11416820244480. Its totient is φ = 704241008640.

The previous prime is 3126125899669. The next prime is 3126125899727. The reversal of 3126125899680 is 869985216213.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153148675 + ... + 153169085.

It is an arithmetic number, because the mean of its divisors is an integer number (29731302720).

Almost surely, 2^{3126125899680} is an apocalyptic number.

3126125899680 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 3126125899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708410122240).

3126125899680 is an abundant number, since it is smaller than the sum of its proper divisors (8290694344800).

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

3126125899680 is a wasteful number, since it uses less digits than its factorization.

3126125899680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21092 (or 21084 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 3126125899680 in words is "three trillion, one hundred twenty-six billion, one hundred twenty-five million, eight hundred ninety-nine thousand, six hundred eighty".