125583540203520 has 832 divisors, whose sum is σ = 512477188608000. Its totient is φ = 28579258957824.

The previous prime is 125583540203503. The next prime is 125583540203551. The reversal of 125583540203520 is 25302045385521.

125583540203520 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 83 + 5 + 40 + 2 + 0 + 3 + 520 = 666.

125583540203520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 886324041 + ... + 886465719.

Almost surely, 2^{125583540203520} is an apocalyptic number.

125583540203520 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 125583540203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256238594304000).

125583540203520 is an abundant number, since it is smaller than the sum of its proper divisors (386893648404480).

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

125583540203520 is a wasteful number, since it uses less digits than its factorization.

125583540203520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141953 (or 141925 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 125583540203520 in words is "one hundred twenty-five trillion, five hundred eighty-three billion, five hundred forty million, two hundred three thousand, five hundred twenty".