26011972800 has 1344 divisors, whose sum is σ = 113083238400. Its totient is φ = 5748019200.

The previous prime is 26011972793. The next prime is 26011972837. The reversal of 26011972800 is 827911062.

26011972800 is a `hidden beast` number, since 260 + 119 + 7 + 280 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 388238367 + ... + 388238433.

Almost surely, 2^26011972800 is an apocalyptic number.

26011972800 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 26011972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56541619200).

26011972800 is an abundant number, since it is smaller than the sum of its proper divisors (87071265600).

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

26011972800 is a wasteful number, since it uses less digits than its factorization.

26011972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 26011972800 in words is "twenty-six billion, eleven million, nine hundred seventy-two thousand, eight hundred".