26431398000 has 480 divisors, whose sum is σ = 106734775680. Its totient is φ = 5971046400.

The previous prime is 26431397969. The next prime is 26431398011. The reversal of 26431398000 is 89313462.

26431398000 is a `hidden beast` number, since 2 + 643 + 1 + 3 + 9 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11212822 + ... + 11215178.

It is an arithmetic number, because the mean of its divisors is an integer number (222364116).

Almost surely, 2^26431398000 is an apocalyptic number.

26431398000 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 26431398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53367387840).

26431398000 is an abundant number, since it is smaller than the sum of its proper divisors (80303377680).

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

26431398000 is a wasteful number, since it uses less digits than its factorization.

26431398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 26431398000 in words is "twenty-six billion, four hundred thirty-one million, three hundred ninety-eight thousand".