125572524480 has 784 divisors, whose sum is σ = 493643009664. Its totient is φ = 30218158080.

The previous prime is 125572524419. The next prime is 125572524487. The reversal of 125572524480 is 84425275521.

125572524480 is a `hidden beast` number, since 1 + 2 + 55 + 72 + 52 + 4 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125572524487) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 142533640 + ... + 142534520.

It is an arithmetic number, because the mean of its divisors is an integer number (629646696).

Almost surely, 2^125572524480 is an apocalyptic number.

125572524480 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 125572524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246821504832).

125572524480 is an abundant number, since it is smaller than the sum of its proper divisors (368070485184).

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

125572524480 is an equidigital number, since it uses as much as digits as its factorization.

125572524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 125572524480 in words is "one hundred twenty-five billion, five hundred seventy-two million, five hundred twenty-four thousand, four hundred eighty".