26814485400 has 192 divisors, whose sum is σ = 87091092480. Its totient is φ = 6816268800.

The previous prime is 26814485381. The next prime is 26814485429. The reversal of 26814485400 is 458441862.

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, 1235442 + ... + 1256958.

It is an arithmetic number, because the mean of its divisors is an integer number (453599440).

Almost surely, 2^26814485400 is an apocalyptic number.

26814485400 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 26814485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545546240).

26814485400 is an abundant number, since it is smaller than the sum of its proper divisors (60276607080).

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

26814485400 is a wasteful number, since it uses less digits than its factorization.

26814485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21634 (or 21625 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 26814485400 in words is "twenty-six billion, eight hundred fourteen million, four hundred eighty-five thousand, four hundred".