125610946560 has 832 divisors, whose sum is σ = 494259356160. Its totient is φ = 30010245120.

The previous prime is 125610946547. The next prime is 125610946577. The reversal of 125610946560 is 65649016521.

125610946560 is a `hidden beast` number, since 1 + 25 + 6 + 109 + 465 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650833824 + ... + 650834016.

Almost surely, 2^125610946560 is an apocalyptic number.

125610946560 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 125610946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247129678080).

125610946560 is an abundant number, since it is smaller than the sum of its proper divisors (368648409600).

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

125610946560 is a wasteful number, since it uses less digits than its factorization.

125610946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 125610946560 in words is "one hundred twenty-five billion, six hundred ten million, nine hundred forty-six thousand, five hundred sixty".