26312563200 has 720 divisors, whose sum is σ = 109326127680. Its totient is φ = 5460787200.

The previous prime is 26312563181. The next prime is 26312563223. The reversal of 26312563200 is 236521362.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32524396 + ... + 32525204.

It is an arithmetic number, because the mean of its divisors is an integer number (151841844).

Almost surely, 2^26312563200 is an apocalyptic number.

26312563200 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 26312563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54663063840).

26312563200 is an abundant number, since it is smaller than the sum of its proper divisors (83013564480).

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

26312563200 is a wasteful number, since it uses less digits than its factorization.

26312563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 26312563200 in words is "twenty-six billion, three hundred twelve million, five hundred sixty-three thousand, two hundred".