125555535350300 has 288 divisors, whose sum is σ = 305906755714560. Its totient is φ = 44340710169600.

The previous prime is 125555535350293. The next prime is 125555535350303. The reversal of 125555535350300 is 3053535555521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125555535350303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24818249171 + ... + 24818254229.

It is an arithmetic number, because the mean of its divisors is an integer number (1062176235120).

Almost surely, 2^{125555535350300} is an apocalyptic number.

125555535350300 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 125555535350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152953377857280).

125555535350300 is an abundant number, since it is smaller than the sum of its proper divisors (180351220364260).

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

125555535350300 is a wasteful number, since it uses less digits than its factorization.

125555535350300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9373 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 4218750, while the sum is 47.

The spelling of 125555535350300 in words is "one hundred twenty-five trillion, five hundred fifty-five billion, five hundred thirty-five million, three hundred fifty thousand, three hundred".