125028852480 has 720 divisors, whose sum is σ = 538256167680. Its totient is φ = 27070930944.

The previous prime is 125028852467. The next prime is 125028852493. The reversal of 125028852480 is 84258820521.

125028852480 is a `hidden beast` number, since 1 + 25 + 0 + 28 + 8 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (125028852467) and next prime (125028852493).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×125028852480³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13784907 + ... + 13793973.

Almost surely, 2^125028852480 is an apocalyptic number.

125028852480 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 125028852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269128083840).

125028852480 is an abundant number, since it is smaller than the sum of its proper divisors (413227315200).

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

125028852480 is an equidigital number, since it uses as much as digits as its factorization.

125028852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 9103 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 125028852480 in words is "one hundred twenty-five billion, twenty-eight million, eight hundred fifty-two thousand, four hundred eighty".