126897943536000 has 768 divisors, whose sum is σ = 560888968348800. Its totient is φ = 26774068838400.

The previous prime is 126897943535981. The next prime is 126897943536029. The reversal of 126897943536000 is 635349798621.

126897943536000 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 9 + 7 + 94 + 3 + 536 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×126897943536000² (a number of 29 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8262046 + ... + 17945954.

It is a 1-persistent number, because it is pandigital, but 2⋅126897943536000 = 253795887072000 is not.

Almost surely, 2^{126897943536000} is an apocalyptic number.

126897943536000 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 126897943536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280444484174400).

126897943536000 is an abundant number, since it is smaller than the sum of its proper divisors (433991024812800).

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

126897943536000 is a wasteful number, since it uses less digits than its factorization.

126897943536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9683964 (or 9683939 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 126897943536000 in words is "one hundred twenty-six trillion, eight hundred ninety-seven billion, nine hundred forty-three million, five hundred thirty-six thousand".