6125972160 has 336 divisors, whose sum is σ = 24684410880. Its totient is φ = 1272821760.

The previous prime is 6125972147. The next prime is 6125972173. The reversal of 6125972160 is 612795216.

It is an interprime number because it is at equal distance from previous prime (6125972147) and next prime (6125972173).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511521 + ... + 523359.

Almost surely, 2^6125972160 is an apocalyptic number.

6125972160 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 6125972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342205440).

6125972160 is an abundant number, since it is smaller than the sum of its proper divisors (18558438720).

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

6125972160 is a wasteful number, since it uses less digits than its factorization.

6125972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11884 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 6125972160 is about 78268.5898684779. The cubic root of 6125972160 is about 1829.7496507242.

The spelling of 6125972160 in words is "six billion, one hundred twenty-five million, nine hundred seventy-two thousand, one hundred sixty".