125943824893440 has 320 divisors, whose sum is σ = 408351197422080. Its totient is φ = 33107634094080.

The previous prime is 125943824893339. The next prime is 125943824893457. The reversal of 125943824893440 is 44398428349521.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8237537316 + ... + 8237552604.

It is an arithmetic number, because the mean of its divisors is an integer number (1276097491944).

Almost surely, 2^{125943824893440} is an apocalyptic number.

125943824893440 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 125943824893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204175598711040).

125943824893440 is an abundant number, since it is smaller than the sum of its proper divisors (282407372528640).

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

125943824893440 is a wasteful number, since it uses less digits than its factorization.

125943824893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30493 (or 30477 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 66.

The spelling of 125943824893440 in words is "one hundred twenty-five trillion, nine hundred forty-three billion, eight hundred twenty-four million, eight hundred ninety-three thousand, four hundred forty".