26828651520 has 440 divisors, whose sum is σ = 104896435248. Its totient is φ = 6502809600.

The previous prime is 26828651519. The next prime is 26828651537. The reversal of 26828651520 is 2515682862.

It is a happy number.

26828651520 is a `hidden beast` number, since 2 + 68 + 2 + 8 + 65 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

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 39 ways as a sum of consecutive naturals, for example, 4558980 + ... + 4564860.

Almost surely, 2^26828651520 is an apocalyptic number.

26828651520 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 26828651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52448217624).

26828651520 is an abundant number, since it is smaller than the sum of its proper divisors (78067783728).

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

26828651520 is a wasteful number, since it uses less digits than its factorization.

26828651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 26828651520 in words is "twenty-six billion, eight hundred twenty-eight million, six hundred fifty-one thousand, five hundred twenty".