125853913620 has 144 divisors (see below), whose sum is σ = 402607033920. Its totient is φ = 32992137216.

The previous prime is 125853913597. The next prime is 125853913631. The reversal of 125853913620 is 26319358521.

125853913620 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 5 + 3 + 9 + 13 + 620 = 666.

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

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, 67284 + ... + 506196.

It is an arithmetic number, because the mean of its divisors is an integer number (2795882180).

Almost surely, 2^125853913620 is an apocalyptic number.

125853913620 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 125853913620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201303516960).

125853913620 is an abundant number, since it is smaller than the sum of its proper divisors (276753120300).

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

125853913620 is a wasteful number, since it uses less digits than its factorization.

125853913620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438996 (or 438982 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 125853913620 in words is "one hundred twenty-five billion, eight hundred fifty-three million, nine hundred thirteen thousand, six hundred twenty".