125079261476576 has 192 divisors, whose sum is σ = 278006436356544. Its totient is φ = 54894860697600.

The previous prime is 125079261476569. The next prime is 125079261476593. The reversal of 125079261476576 is 675674162970521.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5996981540 + ... + 5997002396.

It is an arithmetic number, because the mean of its divisors is an integer number (1447950189357).

Almost surely, 2^{125079261476576} is an apocalyptic number.

125079261476576 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 125079261476576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139003218178272).

125079261476576 is an abundant number, since it is smaller than the sum of its proper divisors (152927174879968).

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

125079261476576 is a wasteful number, since it uses less digits than its factorization.

125079261476576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24413 (or 24405 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 68.

The spelling of 125079261476576 in words is "one hundred twenty-five trillion, seventy-nine billion, two hundred sixty-one million, four hundred seventy-six thousand, five hundred seventy-six".