126010639872 has 480 divisors, whose sum is σ = 409445356320. Its totient is φ = 38688399360.

The previous prime is 126010639849. The next prime is 126010639897. The reversal of 126010639872 is 278936010621.

126010639872 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 1 + 0 + 639 + 8 + 7 + 2 = 666.

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, 273341722 + ... + 273342182.

It is an arithmetic number, because the mean of its divisors is an integer number (853011159).

Almost surely, 2^126010639872 is an apocalyptic number.

126010639872 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 126010639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204722678160).

126010639872 is an abundant number, since it is smaller than the sum of its proper divisors (283434716448).

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

126010639872 is an frugal number, since it uses more digits than its factorization.

126010639872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 126010639872 in words is "one hundred twenty-six billion, ten million, six hundred thirty-nine thousand, eight hundred seventy-two".