126395326080 has 768 divisors, whose sum is σ = 476367091200. Its totient is φ = 30784782336.

The previous prime is 126395326061. The next prime is 126395326087. The reversal of 126395326080 is 80623593621.

126395326080 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 9 + 5 + 32 + 608 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (126395326087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 641600542 + ... + 641600738.

It is an arithmetic number, because the mean of its divisors is an integer number (620269650).

Almost surely, 2^126395326080 is an apocalyptic number.

126395326080 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 126395326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238183545600).

126395326080 is an abundant number, since it is smaller than the sum of its proper divisors (349971765120).

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

126395326080 is a wasteful number, since it uses less digits than its factorization.

126395326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 126395326080 in words is "one hundred twenty-six billion, three hundred ninety-five million, three hundred twenty-six thousand, eighty".