125654513276160 has 720 divisors, whose sum is σ = 490745563640640. Its totient is φ = 30445760839680.

The previous prime is 125654513276147. The next prime is 125654513276197. The reversal of 125654513276160 is 61672315456521.

125654513276160 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 5 + 4 + 5 + 13 + 2 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 125654513276097 and 125654513276106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2256982084 + ... + 2257037756.

It is an arithmetic number, because the mean of its divisors is an integer number (681591060612).

Almost surely, 2^{125654513276160} is an apocalyptic number.

125654513276160 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 125654513276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245372781820320).

125654513276160 is an abundant number, since it is smaller than the sum of its proper divisors (365091050364480).

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

125654513276160 is a wasteful number, since it uses less digits than its factorization.

125654513276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57696 (or 57673 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 125654513276160 in words is "one hundred twenty-five trillion, six hundred fifty-four billion, five hundred thirteen million, two hundred seventy-six thousand, one hundred sixty".