125401256386560 has 1792 divisors, whose sum is σ = 557046744883200. Its totient is φ = 26001683251200.

The previous prime is 125401256386529. The next prime is 125401256386591. The reversal of 125401256386560 is 65683652104521.

125401256386560 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 0 + 1 + 256 + 386 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125401256386529) and next prime (125401256386591).

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125401256386497 and 125401256386506.

It is a congruent number.

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, 48623983351 + ... + 48623985929.

Almost surely, 2^{125401256386560} is an apocalyptic number.

125401256386560 is a gapful number since it is divisible by the number (10) 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 125401256386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278523372441600).

125401256386560 is an abundant number, since it is smaller than the sum of its proper divisors (431645488496640).

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

125401256386560 is a wasteful number, since it uses less digits than its factorization.

125401256386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 125401256386560 in words is "one hundred twenty-five trillion, four hundred one billion, two hundred fifty-six million, three hundred eighty-six thousand, five hundred sixty".