126685347840 has 816 divisors, whose sum is σ = 478625155008. Its totient is φ = 32105299968.

The previous prime is 126685347839. The next prime is 126685347857. The reversal of 126685347840 is 48743586621.

It is a happy number.

126685347840 is a `hidden beast` number, since 1 + 2 + 6 + 68 + 534 + 7 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2946170859 + ... + 2946170901.

Almost surely, 2^126685347840 is an apocalyptic number.

126685347840 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 126685347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239312577504).

126685347840 is an abundant number, since it is smaller than the sum of its proper divisors (351939807168).

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

126685347840 is an frugal number, since it uses more digits than its factorization.

126685347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 126685347840 in words is "one hundred twenty-six billion, six hundred eighty-five million, three hundred forty-seven thousand, eight hundred forty".