126370010800 has 240 divisors, whose sum is σ = 349541377920. Its totient is φ = 43421184000.

The previous prime is 126370010699. The next prime is 126370010887. The reversal of 126370010800 is 8010073621.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36197055 + ... + 36200545.

It is an arithmetic number, because the mean of its divisors is an integer number (1456422408).

Almost surely, 2^126370010800 is an apocalyptic number.

126370010800 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 126370010800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174770688960).

126370010800 is an abundant number, since it is smaller than the sum of its proper divisors (223171367120).

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

126370010800 is a wasteful number, since it uses less digits than its factorization.

126370010800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 126370010800 in words is "one hundred twenty-six billion, three hundred seventy million, ten thousand, eight hundred".