26813966400 has 504 divisors, whose sum is σ = 103249683264. Its totient is φ = 6560870400.

The previous prime is 26813966393. The next prime is 26813966407. The reversal of 26813966400 is 466931862.

It is an interprime number because it is at equal distance from previous prime (26813966393) and next prime (26813966407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26813966407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42494085 + ... + 42494715.

Almost surely, 2^26813966400 is an apocalyptic number.

26813966400 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 26813966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51624841632).

26813966400 is an abundant number, since it is smaller than the sum of its proper divisors (76435716864).

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

26813966400 is a wasteful number, since it uses less digits than its factorization.

26813966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 26813966400 in words is "twenty-six billion, eight hundred thirteen million, nine hundred sixty-six thousand, four hundred".