126352785825840 has 640 divisors, whose sum is σ = 461854939392000. Its totient is φ = 28561643335680.

The previous prime is 126352785825793. The next prime is 126352785825881. The reversal of 126352785825840 is 48528587253621.

It is a super-2 number, since 2×126352785825840² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3159668566 + ... + 3159708554.

It is an arithmetic number, because the mean of its divisors is an integer number (721648342800).

Almost surely, 2^{126352785825840} is an apocalyptic number.

126352785825840 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 126352785825840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230927469696000).

126352785825840 is an abundant number, since it is smaller than the sum of its proper divisors (335502153566160).

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

126352785825840 is a wasteful number, since it uses less digits than its factorization.

126352785825840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40450 (or 40430 counting only the distinct ones).

The product of its (nonzero) digits is 258048000, while the sum is 66.

The spelling of 126352785825840 in words is "one hundred twenty-six trillion, three hundred fifty-two billion, seven hundred eighty-five million, eight hundred twenty-five thousand, eight hundred forty".