126679885024 has 288 divisors, whose sum is σ = 340941146112. Its totient is φ = 45682560000.

The previous prime is 126679885009. The next prime is 126679885039. The reversal of 126679885024 is 420588976621.

It is an interprime number because it is at equal distance from previous prime (126679885009) and next prime (126679885039).

It is a self number, because there is not a number n which added to its sum of digits gives 126679885024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12292674 + ... + 12302974.

It is an arithmetic number, because the mean of its divisors is an integer number (1183823424).

Almost surely, 2^126679885024 is an apocalyptic number.

126679885024 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 126679885024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170470573056).

126679885024 is an abundant number, since it is smaller than the sum of its proper divisors (214261261088).

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

126679885024 is a wasteful number, since it uses less digits than its factorization.

126679885024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 126679885024 in words is "one hundred twenty-six billion, six hundred seventy-nine million, eight hundred eighty-five thousand, twenty-four".