26164111050 has 576 divisors, whose sum is σ = 93830244480. Its totient is φ = 5298048000.

The previous prime is 26164111049. The next prime is 26164111067. The reversal of 26164111050 is 5011146162.

26164111050 is a `hidden beast` number, since 2 + 6 + 1 + 641 + 1 + 10 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 29833212 + ... + 29834088.

It is an arithmetic number, because the mean of its divisors is an integer number (162899730).

Almost surely, 2^26164111050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26164111050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46915122240).

26164111050 is an abundant number, since it is smaller than the sum of its proper divisors (67666133430).

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

26164111050 is a wasteful number, since it uses less digits than its factorization.

26164111050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

It can be divided in two parts, 261641 and 11050, that added together give a triangular number (272691 = T₇₃₈).

The spelling of 26164111050 in words is "twenty-six billion, one hundred sixty-four million, one hundred eleven thousand, fifty".