26993198400 has 1008 divisors, whose sum is σ = 112326578496. Its totient is φ = 5635768320.

The previous prime is 26993198399. The next prime is 26993198431. The reversal of 26993198400 is 489139962.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 171931122 + ... + 171931278.

Almost surely, 2^26993198400 is an apocalyptic number.

26993198400 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 26993198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56163289248).

26993198400 is an abundant number, since it is smaller than the sum of its proper divisors (85333380096).

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

26993198400 is a wasteful number, since it uses less digits than its factorization.

26993198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 26993198400 in words is "twenty-six billion, nine hundred ninety-three million, one hundred ninety-eight thousand, four hundred".