26009121600 has 1008 divisors, whose sum is σ = 120426845760. Its totient is φ = 5399654400.

The previous prime is 26009121583. The next prime is 26009121617. The reversal of 26009121600 is 612190062.

It is an interprime number because it is at equal distance from previous prime (26009121583) and next prime (26009121617).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23284242 + ... + 23285358.

Almost surely, 2^26009121600 is an apocalyptic number.

26009121600 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 26009121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60213422880).

26009121600 is an abundant number, since it is smaller than the sum of its proper divisors (94417724160).

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

26009121600 is a wasteful number, since it uses less digits than its factorization.

26009121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 26009121600 in words is "twenty-six billion, nine million, one hundred twenty-one thousand, six hundred".