125660164460160 has 512 divisors, whose sum is σ = 441434322339840. Its totient is φ = 30150973440000.

The previous prime is 125660164460113. The next prime is 125660164460167. The reversal of 125660164460160 is 61064461066521.

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

It is not an unprimeable number, because it can be changed into a prime (125660164460167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7386986055 + ... + 7387003065.

It is an arithmetic number, because the mean of its divisors is an integer number (862176410820).

Almost surely, 2^{125660164460160} is an apocalyptic number.

125660164460160 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 125660164460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220717161169920).

125660164460160 is an abundant number, since it is smaller than the sum of its proper divisors (315774157879680).

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

125660164460160 is a wasteful number, since it uses less digits than its factorization.

125660164460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20608 (or 20596 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 125660164460160 in words is "one hundred twenty-five trillion, six hundred sixty billion, one hundred sixty-four million, four hundred sixty thousand, one hundred sixty".