126880688844 has 768 divisors, whose sum is σ = 443112284160. Its totient is φ = 30457036800.

The previous prime is 126880688839. The next prime is 126880688849. The reversal of 126880688844 is 448886088621.

It is an interprime number because it is at equal distance from previous prime (126880688839) and next prime (126880688849).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (126880688849) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1231851297 + ... + 1231851399.

It is an arithmetic number, because the mean of its divisors is an integer number (576969120).

Almost surely, 2^126880688844 is an apocalyptic number.

126880688844 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 126880688844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221556142080).

126880688844 is an abundant number, since it is smaller than the sum of its proper divisors (316231595316).

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

126880688844 is a wasteful number, since it uses less digits than its factorization.

126880688844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 126880688844 in words is "one hundred twenty-six billion, eight hundred eighty million, six hundred eighty-eight thousand, eight hundred forty-four".