126808987473504 has 144 divisors (see below), whose sum is σ = 412156632206592. Its totient is φ = 36228728473344.

The previous prime is 126808987473503. The next prime is 126808987473523. The reversal of 126808987473504 is 405374789808621.

It is a happy number.

126808987473504 is a `hidden beast` number, since 1 + 2 + 6 + 80 + 89 + 87 + 47 + 350 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126808987473503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28322157 + ... + 32492499.

It is an arithmetic number, because the mean of its divisors is an integer number (2862198834768).

It is a 2-persistent number, because it is pandigital, and so is 2⋅126808987473504 = 253617974947008, but 3⋅126808987473504 = 380426962420512 is not.

Almost surely, 2^{126808987473504} is an apocalyptic number.

126808987473504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126808987473504 is an abundant number, since it is smaller than the sum of its proper divisors (285347644733088).

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

126808987473504 is a wasteful number, since it uses less digits than its factorization.

126808987473504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185449 (or 4185438 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 126808987473504 in words is "one hundred twenty-six trillion, eight hundred eight billion, nine hundred eighty-seven million, four hundred seventy-three thousand, five hundred four".