126086240649600 has 3072 divisors, whose sum is σ = 587342521958400. Its totient is φ = 25656238080000.

The previous prime is 126086240649599. The next prime is 126086240649623. The reversal of 126086240649600 is 6946042680621.

126086240649600 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 8 + 6 + 24 + 0 + 6 + 4 + 9 + 600 = 666.

It is a super-2 number, since 2×126086240649600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 85135880860 + ... + 85135882340.

It is an arithmetic number, because the mean of its divisors is an integer number (191192227200).

Almost surely, 2^{126086240649600} is an apocalyptic number.

126086240649600 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 126086240649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293671260979200).

126086240649600 is an abundant number, since it is smaller than the sum of its proper divisors (461256281308800).

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

126086240649600 is a wasteful number, since it uses less digits than its factorization.

126086240649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 126086240649600 in words is "one hundred twenty-six trillion, eighty-six billion, two hundred forty million, six hundred forty-nine thousand, six hundred".