126711889920 has 1440 divisors, whose sum is σ = 584650192896. Its totient is φ = 25480396800.

The previous prime is 126711889907. The next prime is 126711889937. The reversal of 126711889920 is 29988117621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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 79 ways as a sum of consecutive naturals, for example, 4087480305 + ... + 4087480335.

Almost surely, 2^126711889920 is an apocalyptic number.

126711889920 is a gapful number since it is divisible by the number (10) 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 126711889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292325096448).

126711889920 is an abundant number, since it is smaller than the sum of its proper divisors (457938302976).

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

126711889920 is an frugal number, since it uses more digits than its factorization.

126711889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 126711889920 in words is "one hundred twenty-six billion, seven hundred eleven million, eight hundred eighty-nine thousand, nine hundred twenty".