126633645895680 has 1404 divisors, whose sum is σ = 557519877604872. Its totient is φ = 26290177966080.

The previous prime is 126633645895667. The next prime is 126633645895699. The reversal of 126633645895680 is 86598546336621.

126633645895680 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 3 + 3 + 6 + 4 + 58 + 9 + 568 + 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 = 126633645895599 and 126633645895608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 112164433356 + ... + 112164434484.

It is an arithmetic number, because the mean of its divisors is an integer number (397093929918).

Almost surely, 2^{126633645895680} is an apocalyptic number.

126633645895680 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 126633645895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278759938802436).

126633645895680 is an abundant number, since it is smaller than the sum of its proper divisors (430886231709192).

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

126633645895680 is an equidigital number, since it uses as much as digits as its factorization.

126633645895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 126633645895680 in words is "one hundred twenty-six trillion, six hundred thirty-three billion, six hundred forty-five million, eight hundred ninety-five thousand, six hundred eighty".