26482982400 has 1200 divisors, whose sum is σ = 116039135520. Its totient is φ = 5839257600.

The previous prime is 26482982399. The next prime is 26482982423. The reversal of 26482982400 is 428928462.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 297561556 + ... + 297561644.

Almost surely, 2^26482982400 is an apocalyptic number.

26482982400 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 26482982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58019567760).

26482982400 is an abundant number, since it is smaller than the sum of its proper divisors (89556153120).

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

26482982400 is an equidigital number, since it uses as much as digits as its factorization.

26482982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 26482982400 in words is "twenty-six billion, four hundred eighty-two million, nine hundred eighty-two thousand, four hundred".