125528158080 has 512 divisors, whose sum is σ = 480356352000. Its totient is φ = 30797438976.

The previous prime is 125528158061. The next prime is 125528158103. The reversal of 125528158080 is 80851825521.

125528158080 is a `hidden beast` number, since 1 + 2 + 552 + 8 + 15 + 8 + 0 + 80 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86036391 + ... + 86037849.

It is an arithmetic number, because the mean of its divisors is an integer number (938196000).

Almost surely, 2^125528158080 is an apocalyptic number.

125528158080 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 125528158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240178176000).

125528158080 is an abundant number, since it is smaller than the sum of its proper divisors (354828193920).

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

125528158080 is a wasteful number, since it uses less digits than its factorization.

125528158080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 125528158080 in words is "one hundred twenty-five billion, five hundred twenty-eight million, one hundred fifty-eight thousand, eighty".