126781711920 has 960 divisors, whose sum is σ = 501702888960. Its totient is φ = 29561241600.

The previous prime is 126781711879. The next prime is 126781711949. The reversal of 126781711920 is 29117187621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 383026155 + ... + 383026485.

It is an arithmetic number, because the mean of its divisors is an integer number (522607176).

Almost surely, 2^126781711920 is an apocalyptic number.

126781711920 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 126781711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250851444480).

126781711920 is an abundant number, since it is smaller than the sum of its proper divisors (374921177040).

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

126781711920 is a wasteful number, since it uses less digits than its factorization.

126781711920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 126781711920 in words is "one hundred twenty-six billion, seven hundred eighty-one million, seven hundred eleven thousand, nine hundred twenty".