125479581635520 has 1008 divisors, whose sum is σ = 504563232944160. Its totient is φ = 28538440777728.

The previous prime is 125479581635509. The next prime is 125479581635531. The reversal of 125479581635520 is 25536185974521.

It is a happy number.

125479581635520 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 7 + 95 + 8 + 16 + 3 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (125479581635509) and next prime (125479581635531).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58717631892 + ... + 58717634028.

It is a 1-persistent number, because it is pandigital, but 2⋅125479581635520 = 250959163271040 is not.

Almost surely, 2^{125479581635520} is an apocalyptic number.

125479581635520 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 125479581635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252281616472080).

125479581635520 is an abundant number, since it is smaller than the sum of its proper divisors (379083651308640).

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

125479581635520 is a wasteful number, since it uses less digits than its factorization.

125479581635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 125479581635520 in words is "one hundred twenty-five trillion, four hundred seventy-nine billion, five hundred eighty-one million, six hundred thirty-five thousand, five hundred twenty".