125435699090000 has 400 divisors, whose sum is σ = 330492840437760. Its totient is φ = 45829566720000.

The previous prime is 125435699089997. The next prime is 125435699090003. The reversal of 125435699090000 is 90996534521.

It is an interprime number because it is at equal distance from previous prime (125435699089997) and next prime (125435699090003).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×125435699090000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125435699090003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6422380235 + ... + 6422399765.

Almost surely, 2^{125435699090000} is an apocalyptic number.

125435699090000 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 125435699090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165246420218880).

125435699090000 is an abundant number, since it is smaller than the sum of its proper divisors (205057141347760).

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

125435699090000 is a wasteful number, since it uses less digits than its factorization.

125435699090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20088 (or 20067 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 53.

The spelling of 125435699090000 in words is "one hundred twenty-five trillion, four hundred thirty-five billion, six hundred ninety-nine million, ninety thousand".