125542635867264 has 2304 divisors, whose sum is σ = 455723180640000. Its totient is φ = 30543696691200.

The previous prime is 125542635867227. The next prime is 125542635867317. The reversal of 125542635867264 is 462768536245521.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 125542635867195 and 125542635867204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1719762135132 + ... + 1719762135204.

It is an arithmetic number, because the mean of its divisors is an integer number (197796519375).

Almost surely, 2^{125542635867264} is an apocalyptic number.

125542635867264 is a gapful number since it is divisible by the number (14) 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 125542635867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227861590320000).

125542635867264 is an abundant number, since it is smaller than the sum of its proper divisors (330180544772736).

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

125542635867264 is an equidigital number, since it uses as much as digits as its factorization.

125542635867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 186 counting only the distinct ones).

The product of its digits is 580608000, while the sum is 66.

The spelling of 125542635867264 in words is "one hundred twenty-five trillion, five hundred forty-two billion, six hundred thirty-five million, eight hundred sixty-seven thousand, two hundred sixty-four".