125861193216 has 480 divisors, whose sum is σ = 422476674048. Its totient is φ = 35689758720.

The previous prime is 125861193209. The next prime is 125861193223. The reversal of 125861193216 is 612391168521.

It is a happy number.

125861193216 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 611 + 9 + 3 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (125861193209) and next prime (125861193223).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 54792580 + ... + 54794876.

Almost surely, 2^125861193216 is an apocalyptic number.

125861193216 is a gapful number since it is divisible by the number (16) 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 125861193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211238337024).

125861193216 is an abundant number, since it is smaller than the sum of its proper divisors (296615480832).

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

125861193216 is a wasteful number, since it uses less digits than its factorization.

125861193216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2383 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 125861193216 in words is "one hundred twenty-five billion, eight hundred sixty-one million, one hundred ninety-three thousand, two hundred sixteen".