126171856800 has 864 divisors, whose sum is σ = 498704955840. Its totient is φ = 29760307200.

The previous prime is 126171856751. The next prime is 126171856813. The reversal of 126171856800 is 8658171621.

126171856800 is a `hidden beast` number, since 12 + 6 + 1 + 71 + 8 + 568 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 803642322 + ... + 803642478.

It is an arithmetic number, because the mean of its divisors is an integer number (577204810).

Almost surely, 2^126171856800 is an apocalyptic number.

126171856800 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 126171856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249352477920).

126171856800 is an abundant number, since it is smaller than the sum of its proper divisors (372533099040).

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

126171856800 is a wasteful number, since it uses less digits than its factorization.

126171856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 126171856800 in words is "one hundred twenty-six billion, one hundred seventy-one million, eight hundred fifty-six thousand, eight hundred".