26146107233850 has 192 divisors, whose sum is σ = 65668631724288. Its totient is φ = 6883868160000.

The previous prime is 26146107233821. The next prime is 26146107233879. The reversal of 26146107233850 is 5833270164162.

It is an interprime number because it is at equal distance from previous prime (26146107233821) and next prime (26146107233879).

It is a self number, because there is not a number n which added to its sum of digits gives 26146107233850.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12099076770 + ... + 12099078930.

It is an arithmetic number, because the mean of its divisors is an integer number (342024123564).

Almost surely, 2^{26146107233850} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26146107233850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32834315862144).

26146107233850 is an abundant number, since it is smaller than the sum of its proper divisors (39522524490438).

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

26146107233850 is a wasteful number, since it uses less digits than its factorization.

26146107233850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 26146107233850 in words is "twenty-six trillion, one hundred forty-six billion, one hundred seven million, two hundred thirty-three thousand, eight hundred fifty".