126160258560 has 1280 divisors, whose sum is σ = 519066206208. Its totient is φ = 25480396800.

The previous prime is 126160258517. The next prime is 126160258573. The reversal of 126160258560 is 65852061621.

126160258560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1728222684 + ... + 1728222756.

Almost surely, 2^126160258560 is an apocalyptic number.

126160258560 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 126160258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259533103104).

126160258560 is an abundant number, since it is smaller than the sum of its proper divisors (392905947648).

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

126160258560 is a wasteful number, since it uses less digits than its factorization.

126160258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 126160258560 in words is "one hundred twenty-six billion, one hundred sixty million, two hundred fifty-eight thousand, five hundred sixty".