125581269408 has 192 divisors, whose sum is σ = 380136976128. Its totient is φ = 35558645760.

The previous prime is 125581269379. The next prime is 125581269427. The reversal of 125581269408 is 804962185521.

It is a super-2 number, since 2×125581269408² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38555716 + ... + 38558972.

It is an arithmetic number, because the mean of its divisors is an integer number (1979880084).

Almost surely, 2^125581269408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125581269408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190068488064).

125581269408 is an abundant number, since it is smaller than the sum of its proper divisors (254555706720).

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

125581269408 is a wasteful number, since it uses less digits than its factorization.

125581269408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 125581269408 in words is "one hundred twenty-five billion, five hundred eighty-one million, two hundred sixty-nine thousand, four hundred eight".