26982446400 has 1008 divisors, whose sum is σ = 120377712000. Its totient is φ = 5580472320.

The previous prime is 26982446399. The next prime is 26982446411. The reversal of 26982446400 is 464428962.

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 (45).

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, 77313426 + ... + 77313774.

Almost surely, 2^26982446400 is an apocalyptic number.

26982446400 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 26982446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60188856000).

26982446400 is an abundant number, since it is smaller than the sum of its proper divisors (93395265600).

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

26982446400 is a wasteful number, since it uses less digits than its factorization.

26982446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 26982446400 in words is "twenty-six billion, nine hundred eighty-two million, four hundred forty-six thousand, four hundred".