26147350050075 has 192 divisors, whose sum is σ = 52895935872000. Its totient is φ = 12604347740160.

The previous prime is 26147350050013. The next prime is 26147350050097. The reversal of 26147350050075 is 57005005374162.

It is a happy number.

26147350050075 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 73 + 5 + 0 + 0 + 500 + 75 = 666.

It is not a de Polignac number, because 26147350050075 - 2⁶ = 26147350050011 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26147350050075.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114631339 + ... + 114859211.

It is an arithmetic number, because the mean of its divisors is an integer number (275499666000).

Almost surely, 2^{26147350050075} is an apocalyptic number.

26147350050075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26147350050075 is an abundant number, since it is smaller than the sum of its proper divisors (26748585821925).

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

26147350050075 is a wasteful number, since it uses less digits than its factorization.

26147350050075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228323 (or 228312 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 26147350050075 in words is "twenty-six trillion, one hundred forty-seven billion, three hundred fifty million, fifty thousand, seventy-five".