125702640000 has 960 divisors, whose sum is σ = 528159060000. Its totient is φ = 28675584000.

The previous prime is 125702639977. The next prime is 125702640017. The reversal of 125702640000 is 46207521.

125702640000 is a `hidden beast` number, since 1 + 257 + 0 + 2 + 6 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 246959746 + ... + 246960254.

Almost surely, 2^125702640000 is an apocalyptic number.

125702640000 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 125702640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264079530000).

125702640000 is an abundant number, since it is smaller than the sum of its proper divisors (402456420000).

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

125702640000 is an frugal number, since it uses more digits than its factorization.

125702640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 125702640000 its reverse (46207521), we get a palindrome (125748847521).

The spelling of 125702640000 in words is "one hundred twenty-five billion, seven hundred two million, six hundred forty thousand".