126504562050 has 384 divisors, whose sum is σ = 371496222720. Its totient is φ = 31588761600.

The previous prime is 126504562001. The next prime is 126504562061. The reversal of 126504562050 is 50265405621.

126504562050 is a `hidden beast` number, since 1 + 26 + 5 + 0 + 4 + 5 + 620 + 5 + 0 = 666.

126504562050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 126504561996 and 126504562014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 492235522 + ... + 492235778.

It is an arithmetic number, because the mean of its divisors is an integer number (967438080).

Almost surely, 2^126504562050 is an apocalyptic number.

126504562050 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 126504562050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185748111360).

126504562050 is an abundant number, since it is smaller than the sum of its proper divisors (244991660670).

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

126504562050 is a wasteful number, since it uses less digits than its factorization.

126504562050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 126504562050 its reverse (50265405621), we get a palindrome (176769967671).

The spelling of 126504562050 in words is "one hundred twenty-six billion, five hundred four million, five hundred sixty-two thousand, fifty".