26351221628160 has 3456 divisors, whose sum is σ = 118486393159680. Its totient is φ = 5306292633600.

The previous prime is 26351221628153. The next prime is 26351221628233. The reversal of 26351221628160 is 6182612215362.

26351221628160 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 1 + 2 + 2 + 1 + 628 + 16 + 0 = 666.

It is a super-2 number, since 2×26351221628160² (a number of 28 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 110256157321 + ... + 110256157559.

It is an arithmetic number, because the mean of its divisors is an integer number (34284257280).

Almost surely, 2^{26351221628160} is an apocalyptic number.

26351221628160 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 26351221628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59243196579840).

26351221628160 is an abundant number, since it is smaller than the sum of its proper divisors (92135171531520).

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

26351221628160 is a wasteful number, since it uses less digits than its factorization.

26351221628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 26351221628160 in words is "twenty-six trillion, three hundred fifty-one billion, two hundred twenty-one million, six hundred twenty-eight thousand, one hundred sixty".