126858413952 has 128 divisors (see below), whose sum is σ = 374761015200. Its totient is φ = 42246328320.

The previous prime is 126858413881. The next prime is 126858413963. The reversal of 126858413952 is 259314858621.

126858413952 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 584 + 1 + 3 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3774502 + ... + 3807962.

Almost surely, 2^126858413952 is an apocalyptic number.

126858413952 is a gapful number since it is divisible by the number (12) 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 126858413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187380507600).

126858413952 is an abundant number, since it is smaller than the sum of its proper divisors (247902601248).

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

126858413952 is a wasteful number, since it uses less digits than its factorization.

126858413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34581 (or 34563 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 126858413952 in words is "one hundred twenty-six billion, eight hundred fifty-eight million, four hundred thirteen thousand, nine hundred fifty-two".