126358605450 has 576 divisors, whose sum is σ = 444490122240. Its totient is φ = 26100144000.

The previous prime is 126358605421. The next prime is 126358605469. The reversal of 126358605450 is 54506853621.

126358605450 is a `hidden beast` number, since 1 + 2 + 6 + 35 + 8 + 605 + 4 + 5 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126358605396 and 126358605405.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 153533739 + ... + 153534561.

It is an arithmetic number, because the mean of its divisors is an integer number (771684240).

Almost surely, 2^126358605450 is an apocalyptic number.

126358605450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126358605450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222245061120).

126358605450 is an abundant number, since it is smaller than the sum of its proper divisors (318131516790).

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

126358605450 is a wasteful number, since it uses less digits than its factorization.

126358605450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 126358605450 in words is "one hundred twenty-six billion, three hundred fifty-eight million, six hundred five thousand, four hundred fifty".