126833962106880 has 2160 divisors, whose sum is σ = 526266246804480. Its totient is φ = 27676948561920.

The previous prime is 126833962106879. The next prime is 126833962106909. The reversal of 126833962106880 is 88601269338621.

It is a happy number.

126833962106880 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 339 + 6 + 210 + 6 + 8 + 80 = 666.

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, 530686033801 + ... + 530686034039.

It is an arithmetic number, because the mean of its divisors is an integer number (243641780928).

Almost surely, 2^{126833962106880} is an apocalyptic number.

126833962106880 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 126833962106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263133123402240).

126833962106880 is an abundant number, since it is smaller than the sum of its proper divisors (399432284697600).

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

126833962106880 is a wasteful number, since it uses less digits than its factorization.

126833962106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 126833962106880 in words is "one hundred twenty-six trillion, eight hundred thirty-three billion, nine hundred sixty-two million, one hundred six thousand, eight hundred eighty".