125571663360 has 480 divisors, whose sum is σ = 510933110688. Its totient is φ = 28099215360.

The previous prime is 125571663319. The next prime is 125571663379. The reversal of 125571663360 is 63366175521.

125571663360 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 7 + 1 + 6 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×125571663360³ (a number of 34 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3275664 + ... + 3313776.

Almost surely, 2^125571663360 is an apocalyptic number.

125571663360 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 125571663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255466555344).

125571663360 is an abundant number, since it is smaller than the sum of its proper divisors (385361447328).

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

125571663360 is a wasteful number, since it uses less digits than its factorization.

125571663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38166 (or 38147 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 125571663360 in words is "one hundred twenty-five billion, five hundred seventy-one million, six hundred sixty-three thousand, three hundred sixty".