125428979520 has 672 divisors, whose sum is σ = 486108499968. Its totient is φ = 30600364032.

The previous prime is 125428979483. The next prime is 125428979521. The reversal of 125428979520 is 25979824521.

125428979520 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 28 + 97 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125428979521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128381272 + ... + 128382248.

It is an arithmetic number, because the mean of its divisors is an integer number (723375744).

Almost surely, 2^125428979520 is an apocalyptic number.

125428979520 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 125428979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243054249984).

125428979520 is an abundant number, since it is smaller than the sum of its proper divisors (360679520448).

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

125428979520 is a wasteful number, since it uses less digits than its factorization.

125428979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 125428979520 in words is "one hundred twenty-five billion, four hundred twenty-eight million, nine hundred seventy-nine thousand, five hundred twenty".