126805221223758 has 768 divisors, whose sum is σ = 379873327841280. Its totient is φ = 30730674240000.

The previous prime is 126805221223691. The next prime is 126805221223819. The reversal of 126805221223758 is 857322122508621.

126805221223758 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 0 + 52 + 212 + 2 + 375 + 8 = 666.

It is a super-2 number, since 2×126805221223758² (a number of 29 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 27620390043 + ... + 27620394633.

It is an arithmetic number, because the mean of its divisors is an integer number (494626728960).

Almost surely, 2^{126805221223758} is an apocalyptic number.

126805221223758 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126805221223758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189936663920640).

126805221223758 is an abundant number, since it is smaller than the sum of its proper divisors (253068106617522).

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

126805221223758 is a wasteful number, since it uses less digits than its factorization.

126805221223758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 126805221223758 in words is "one hundred twenty-six trillion, eight hundred five billion, two hundred twenty-one million, two hundred twenty-three thousand, seven hundred fifty-eight".