126875803852800 has 1176 divisors, whose sum is σ = 482728354037424. Its totient is φ = 33045048852480.

The previous prime is 126875803852723. The next prime is 126875803852841. The reversal of 126875803852800 is 8258308578621.

It is a happy number.

126875803852800 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 75 + 8 + 0 + 38 + 528 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6419855719 + ... + 6419875481.

Almost surely, 2^{126875803852800} is an apocalyptic number.

126875803852800 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 126875803852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241364177018712).

126875803852800 is an abundant number, since it is smaller than the sum of its proper divisors (355852550184624).

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

126875803852800 is an frugal number, since it uses more digits than its factorization.

126875803852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19860 (or 19816 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 126875803852800 in words is "one hundred twenty-six trillion, eight hundred seventy-five billion, eight hundred three million, eight hundred fifty-two thousand, eight hundred".