125899260480 has 672 divisors, whose sum is σ = 508794983424. Its totient is φ = 27980992512.

The previous prime is 125899260479. The next prime is 125899260481. The reversal of 125899260480 is 84062998521.

It is a happy number.

125899260480 is a `hidden beast` number, since 1 + 2 + 58 + 99 + 26 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (125899260479) and next prime (125899260481).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (125899260481) 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 95 ways as a sum of consecutive naturals, for example, 112109199 + ... + 112110321.

It is an arithmetic number, because the mean of its divisors is an integer number (757135392).

Almost surely, 2^125899260480 is an apocalyptic number.

125899260480 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 125899260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254397491712).

125899260480 is an abundant number, since it is smaller than the sum of its proper divisors (382895722944).

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

125899260480 is a wasteful number, since it uses less digits than its factorization.

125899260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 125899260480 in words is "one hundred twenty-five billion, eight hundred ninety-nine million, two hundred sixty thousand, four hundred eighty".