126692826624 has 960 divisors, whose sum is σ = 475420999680. Its totient is φ = 32606945280.

The previous prime is 126692826607. The next prime is 126692826661. The reversal of 126692826624 is 426628296621.

126692826624 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 9 + 2 + 8 + 2 + 6 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 997581249 + ... + 997581375.

It is an arithmetic number, because the mean of its divisors is an integer number (495230208).

Almost surely, 2^126692826624 is an apocalyptic number.

126692826624 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 126692826624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237710499840).

126692826624 is an abundant number, since it is smaller than the sum of its proper divisors (348728173056).

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

126692826624 is a wasteful number, since it uses less digits than its factorization.

126692826624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 213 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 126692826624 in words is "one hundred twenty-six billion, six hundred ninety-two million, eight hundred twenty-six thousand, six hundred twenty-four".