26070104400 has 240 divisors, whose sum is σ = 87335064960. Its totient is φ = 6635059200.

The previous prime is 26070104381. The next prime is 26070104419. The reversal of 26070104400 is 440107062.

It is an interprime number because it is at equal distance from previous prime (26070104381) and next prime (26070104419).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18242886 + ... + 18244314.

It is an arithmetic number, because the mean of its divisors is an integer number (363896104).

Almost surely, 2^26070104400 is an apocalyptic number.

26070104400 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 26070104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43667532480).

26070104400 is an abundant number, since it is smaller than the sum of its proper divisors (61264960560).

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

26070104400 is a wasteful number, since it uses less digits than its factorization.

26070104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 26070104400 in words is "twenty-six billion, seventy million, one hundred four thousand, four hundred".