126788860224 has 448 divisors, whose sum is σ = 416540167680. Its totient is φ = 37563678720.

The previous prime is 126788860213. The next prime is 126788860273. The reversal of 126788860224 is 422068887621.

126788860224 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 8 + 8 + 8 + 602 + 24 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85609564 + ... + 85611044.

It is an arithmetic number, because the mean of its divisors is an integer number (929777160).

Almost surely, 2^126788860224 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 126788860224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208270083840).

126788860224 is an abundant number, since it is smaller than the sum of its proper divisors (289751307456).

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

126788860224 is a wasteful number, since it uses less digits than its factorization.

126788860224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 126788860224 in words is "one hundred twenty-six billion, seven hundred eighty-eight million, eight hundred sixty thousand, two hundred twenty-four".