126515623045050 has 72 divisors (see below), whose sum is σ = 339907123106460. Its totient is φ = 33737319244800.

The previous prime is 126515623045033. The next prime is 126515623045103. The reversal of 126515623045050 is 50540326515621.

126515623045050 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 1 + 562 + 30 + 4 + 5 + 0 + 50 = 666.

126515623045050 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 93816290746161 + 32699332298889 = 9685881^2 + 5718333^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 126515623044987 and 126515623045005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97984660 + ... + 99267440.

Almost surely, 2^{126515623045050} is an apocalyptic number.

126515623045050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

126515623045050 is an abundant number, since it is smaller than the sum of its proper divisors (213391500061410).

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

126515623045050 is a wasteful number, since it uses less digits than its factorization.

126515623045050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501968 (or 1501960 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 126515623045050 in words is "one hundred twenty-six trillion, five hundred fifteen billion, six hundred twenty-three million, forty-five thousand, fifty".