26381678400 has 1512 divisors, whose sum is σ = 124161011520. Its totient is φ = 5428684800.

The previous prime is 26381678399. The next prime is 26381678419. The reversal of 26381678400 is 487618362.

26381678400 is a `hidden beast` number, since 2 + 638 + 1 + 6 + 7 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 256132749 + ... + 256132851.

Almost surely, 2^26381678400 is an apocalyptic number.

26381678400 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 26381678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62080505760).

26381678400 is an abundant number, since it is smaller than the sum of its proper divisors (97779333120).

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

26381678400 is a wasteful number, since it uses less digits than its factorization.

26381678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26381678400 in words is "twenty-six billion, three hundred eighty-one million, six hundred seventy-eight thousand, four hundred".