26202852000 has 480 divisors, whose sum is σ = 103587788304. Its totient is φ = 6448896000.

The previous prime is 26202851999. The next prime is 26202852019. The reversal of 26202852000 is 25820262.

It can be written as a sum of positive squares in 8 ways, for example, as 2428912656 + 23773939344 = 49284^2 + 154188^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 4208890 + ... + 4215110.

Almost surely, 2^26202852000 is an apocalyptic number.

26202852000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26202852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793894152).

26202852000 is an abundant number, since it is smaller than the sum of its proper divisors (77384936304).

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

26202852000 is a wasteful number, since it uses less digits than its factorization.

26202852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6244 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

It can be divided in two parts, 262028 and 52000, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 26202852000 in words is "twenty-six billion, two hundred two million, eight hundred fifty-two thousand".