125079552000 has 1280 divisors, whose sum is σ = 519556237200. Its totient is φ = 29727129600.

The previous prime is 125079551983. The next prime is 125079552007. The reversal of 125079552000 is 255970521.

125079552000 is a `hidden beast` number, since 12 + 50 + 79 + 5 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1327104 + 125078224896 = 1152^2 + 353664^2 .

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125079552007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4313087986 + ... + 4313088014.

Almost surely, 2^125079552000 is an apocalyptic number.

125079552000 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 125079552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259778118600).

125079552000 is an abundant number, since it is smaller than the sum of its proper divisors (394476685200).

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

125079552000 is an frugal number, since it uses more digits than its factorization.

125079552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 125079552000 in words is "one hundred twenty-five billion, seventy-nine million, five hundred fifty-two thousand".