26398975680 has 672 divisors, whose sum is σ = 117426516480. Its totient is φ = 5484257280.

The previous prime is 26398975667. The next prime is 26398975717. The reversal of 26398975680 is 8657989362.

26398975680 is a `hidden beast` number, since 2 + 63 + 9 + 8 + 9 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5985316 + ... + 5989724.

It is an arithmetic number, because the mean of its divisors is an integer number (174741840).

Almost surely, 2^26398975680 is an apocalyptic number.

26398975680 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 26398975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58713258240).

26398975680 is an abundant number, since it is smaller than the sum of its proper divisors (91027540800).

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

26398975680 is a wasteful number, since it uses less digits than its factorization.

26398975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 26398975680 in words is "twenty-six billion, three hundred ninety-eight million, nine hundred seventy-five thousand, six hundred eighty".