126693363962880 has 5544 divisors, whose sum is σ = 585464861878560. Its totient is φ = 25992393523200.

The previous prime is 126693363962821. The next prime is 126693363962881. The reversal of 126693363962880 is 88269363396621.

126693363962880 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 9 + 336 + 3 + 9 + 6 + 288 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 126693363962799 and 126693363962808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126693363962881) by changing a digit.

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 503 ways as a sum of consecutive naturals, for example, 4086882708465 + ... + 4086882708495.

Almost surely, 2^{126693363962880} is an apocalyptic number.

126693363962880 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 126693363962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292732430939280).

126693363962880 is an abundant number, since it is smaller than the sum of its proper divisors (458771497915680).

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

126693363962880 is a wasteful number, since it uses less digits than its factorization.

126693363962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 725594112, while the sum is 72.

The spelling of 126693363962880 in words is "one hundred twenty-six trillion, six hundred ninety-three billion, three hundred sixty-three million, nine hundred sixty-two thousand, eight hundred eighty".