126800509271040 has 1056 divisors, whose sum is σ = 502913136241152. Its totient is φ = 29240082432000.

The previous prime is 126800509271039. The next prime is 126800509271041. The reversal of 126800509271040 is 40172905008621.

126800509271040 is a `hidden beast` number, since 1 + 2 + 6 + 80 + 0 + 509 + 27 + 1 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (126800509271039) and next prime (126800509271041).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126800509271041) by changing a digit.

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, 2110111395 + ... + 2110171485.

Almost surely, 2^{126800509271040} is an apocalyptic number.

126800509271040 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 126800509271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251456568120576).

126800509271040 is an abundant number, since it is smaller than the sum of its proper divisors (376112626970112).

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

126800509271040 is a wasteful number, since it uses less digits than its factorization.

126800509271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60337 (or 60316 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 126800509271040 in words is "one hundred twenty-six trillion, eight hundred billion, five hundred nine million, two hundred seventy-one thousand, forty".