125191781928864 has 768 divisors, whose sum is σ = 424224718848000. Its totient is φ = 35181883699200.

The previous prime is 125191781928859. The next prime is 125191781928923. The reversal of 125191781928864 is 468829187191521.

125191781928864 is a `hidden beast` number, since 1 + 2 + 519 + 1 + 7 + 8 + 1 + 9 + 28 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 125191781928792 and 125191781928801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117994138894 + ... + 117994139954.

It is an arithmetic number, because the mean of its divisors is an integer number (552375936000).

Almost surely, 2^{125191781928864} is an apocalyptic number.

125191781928864 is a gapful number since it is divisible by the number (14) 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 125191781928864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212112359424000).

125191781928864 is an abundant number, since it is smaller than the sum of its proper divisors (299032936919136).

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

125191781928864 is a wasteful number, since it uses less digits than its factorization.

125191781928864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2380 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 72.

The spelling of 125191781928864 in words is "one hundred twenty-five trillion, one hundred ninety-one billion, seven hundred eighty-one million, nine hundred twenty-eight thousand, eight hundred sixty-four".