126217386360 has 384 divisors, whose sum is σ = 452909620800. Its totient is φ = 30472565760.

The previous prime is 126217386319. The next prime is 126217386371. The reversal of 126217386360 is 63683712621.

126217386360 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 1 + 7 + 3 + 8 + 636 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 41917255 + ... + 41920265.

Almost surely, 2^126217386360 is an apocalyptic number.

126217386360 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 126217386360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226454810400).

126217386360 is an abundant number, since it is smaller than the sum of its proper divisors (326692234440).

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

126217386360 is a wasteful number, since it uses less digits than its factorization.

126217386360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 126217386360 in words is "one hundred twenty-six billion, two hundred seventeen million, three hundred eighty-six thousand, three hundred sixty".