26500348800 has 480 divisors, whose sum is σ = 102958198200. Its totient is φ = 6693580800.

The previous prime is 26500348769. The next prime is 26500348859. The reversal of 26500348800 is 884300562.

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

It is a super-2 number, since 2×26500348800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4922110 + ... + 4927490.

Almost surely, 2^26500348800 is an apocalyptic number.

26500348800 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 26500348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51479099100).

26500348800 is an abundant number, since it is smaller than the sum of its proper divisors (76457849400).

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

26500348800 is a wasteful number, since it uses less digits than its factorization.

26500348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 26500348800 in words is "twenty-six billion, five hundred million, three hundred forty-eight thousand, eight hundred".