126407655216 has 160 divisors (see below), whose sum is σ = 375862967040. Its totient is φ = 41155490880.

The previous prime is 126407655167. The next prime is 126407655217. The reversal of 126407655216 is 612556704621.

126407655216 is a `hidden beast` number, since 1 + 2 + 64 + 0 + 7 + 65 + 521 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (126407655217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462651 + ... + 1546661.

It is an arithmetic number, because the mean of its divisors is an integer number (2349143544).

Almost surely, 2^126407655216 is an apocalyptic number.

126407655216 is a gapful number since it is divisible by the number (16) 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 126407655216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187931483520).

126407655216 is an abundant number, since it is smaller than the sum of its proper divisors (249455311824).

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

126407655216 is an frugal number, since it uses more digits than its factorization.

126407655216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84083 (or 84059 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 126407655216 in words is "one hundred twenty-six billion, four hundred seven million, six hundred fifty-five thousand, two hundred sixteen".