126397820160 has 108 divisors (see below), whose sum is σ = 437323331172. Its totient is φ = 33706082304.

The previous prime is 126397820141. The next prime is 126397820189. The reversal of 126397820160 is 61028793621.

126397820160 is a `hidden beast` number, since 1 + 2 + 639 + 7 + 8 + 2 + 0 + 1 + 6 + 0 = 666.

126397820160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 75198802176 + 51199017984 = 274224^2 + 226272^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 5474497 + ... + 5497536.

Almost surely, 2^126397820160 is an apocalyptic number.

126397820160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126397820160 is an abundant number, since it is smaller than the sum of its proper divisors (310925511012).

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

126397820160 is a wasteful number, since it uses less digits than its factorization.

126397820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10972060 (or 10972043 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 126397820160 in words is "one hundred twenty-six billion, three hundred ninety-seven million, eight hundred twenty thousand, one hundred sixty".