126091292544 has 576 divisors, whose sum is σ = 437247439200. Its totient is φ = 35473489920.

The previous prime is 126091292543. The next prime is 126091292557. The reversal of 126091292544 is 445292190621.

126091292544 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 9 + 12 + 92 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 126091292544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126091292543) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 523200264 + ... + 523200504.

Almost surely, 2^126091292544 is an apocalyptic number.

126091292544 is a gapful number since it is divisible by the number (14) 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 126091292544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218623719600).

126091292544 is an abundant number, since it is smaller than the sum of its proper divisors (311156146656).

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

126091292544 is an frugal number, since it uses more digits than its factorization.

126091292544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 126091292544 in words is "one hundred twenty-six billion, ninety-one million, two hundred ninety-two thousand, five hundred forty-four".