125692292430 has 128 divisors (see below), whose sum is σ = 338177064960. Its totient is φ = 33218760960.

The previous prime is 125692292291. The next prime is 125692292431. The reversal of 125692292430 is 34292296521.

125692292430 is a `hidden beast` number, since 12 + 569 + 2 + 29 + 24 + 30 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125692292431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55102890 + ... + 55105170.

It is an arithmetic number, because the mean of its divisors is an integer number (2642008320).

Almost surely, 2^125692292430 is an apocalyptic number.

125692292430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125692292430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169088532480).

125692292430 is an abundant number, since it is smaller than the sum of its proper divisors (212484772530).

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

125692292430 is a wasteful number, since it uses less digits than its factorization.

125692292430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 125692292430 in words is "one hundred twenty-five billion, six hundred ninety-two million, two hundred ninety-two thousand, four hundred thirty".