125948077050600 has 864 divisors, whose sum is σ = 500512293567000. Its totient is φ = 28292795596800.

The previous prime is 125948077050571. The next prime is 125948077050629. The reversal of 125948077050600 is 6050770849521.

125948077050600 is a `hidden beast` number, since 1 + 2 + 59 + 4 + 80 + 7 + 7 + 0 + 506 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125948077050571) and next prime (125948077050629).

It can be written as a sum of positive squares in 12 ways, for example, as 31009907371716 + 94938169678884 = 5568654^2 + 9743622^2 .

It is a super-2 number, since 2×125948077050600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6978110376 + ... + 6978128424.

Almost surely, 2^{125948077050600} is an apocalyptic number.

125948077050600 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 125948077050600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250256146783500).

125948077050600 is an abundant number, since it is smaller than the sum of its proper divisors (374564216516400).

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

125948077050600 is a wasteful number, since it uses less digits than its factorization.

125948077050600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19443 (or 19424 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 125948077050600 in words is "one hundred twenty-five trillion, nine hundred forty-eight billion, seventy-seven million, fifty thousand, six hundred".