126957021755760 has 1600 divisors, whose sum is σ = 558193763026944. Its totient is φ = 26057687040000.

The previous prime is 126957021755741. The next prime is 126957021755929. The reversal of 126957021755760 is 67557120759621.

126957021755760 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 5 + 7 + 0 + 2 + 17 + 557 + 60 = 666.

It is a super-2 number, since 2×126957021755760² (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 (29) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7112030835 + ... + 7112048685.

Almost surely, 2^{126957021755760} is an apocalyptic number.

126957021755760 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 126957021755760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279096881513472).

126957021755760 is an abundant number, since it is smaller than the sum of its proper divisors (431236741271184).

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

126957021755760 is a wasteful number, since it uses less digits than its factorization.

126957021755760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18324 (or 18309 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 63.

The spelling of 126957021755760 in words is "one hundred twenty-six trillion, nine hundred fifty-seven billion, twenty-one million, seven hundred fifty-five thousand, seven hundred sixty".