126505897686 has 288 divisors, whose sum is σ = 346335575040. Its totient is φ = 34462096704.

The previous prime is 126505897673. The next prime is 126505897691. The reversal of 126505897686 is 686798505621.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57319195 + ... + 57321401.

It is an arithmetic number, because the mean of its divisors is an integer number (1202554080).

Almost surely, 2^126505897686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126505897686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173167787520).

126505897686 is an abundant number, since it is smaller than the sum of its proper divisors (219829677354).

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

126505897686 is a wasteful number, since it uses less digits than its factorization.

126505897686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 126505897686 in words is "one hundred twenty-six billion, five hundred five million, eight hundred ninety-seven thousand, six hundred eighty-six".