125213880253440 has 528 divisors, whose sum is σ = 440356235024160. Its totient is φ = 30344567193600.

The previous prime is 125213880253439. The next prime is 125213880253471. The reversal of 125213880253440 is 44352088312521.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 125213880253440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6447334930 + ... + 6447354350.

Almost surely, 2^{125213880253440} is an apocalyptic number.

125213880253440 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 125213880253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220178117512080).

125213880253440 is an abundant number, since it is smaller than the sum of its proper divisors (315142354770720).

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

125213880253440 is a wasteful number, since it uses less digits than its factorization.

125213880253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22940 (or 22911 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 125213880253440 in words is "one hundred twenty-five trillion, two hundred thirteen billion, eight hundred eighty million, two hundred fifty-three thousand, four hundred forty".