26645916809400 has 576 divisors, whose sum is σ = 98216113766400. Its totient is φ = 5955854607360.

The previous prime is 26645916809357. The next prime is 26645916809437. The reversal of 26645916809400 is 490861954662.

It is a super-2 number, since 2×26645916809400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1767314662 + ... + 1767329738.

It is an arithmetic number, because the mean of its divisors is an integer number (170514086400).

Almost surely, 2^{26645916809400} is an apocalyptic number.

26645916809400 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 26645916809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49108056883200).

26645916809400 is an abundant number, since it is smaller than the sum of its proper divisors (71570196957000).

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

26645916809400 is a wasteful number, since it uses less digits than its factorization.

26645916809400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 16420 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 26645916809400 in words is "twenty-six trillion, six hundred forty-five billion, nine hundred sixteen million, eight hundred nine thousand, four hundred".