26202240578916 has 288 divisors, whose sum is σ = 73821826915200. Its totient is φ = 7797632102400.

The previous prime is 26202240578909. The next prime is 26202240578977. The reversal of 26202240578916 is 61987504220262.

26202240578916 is a `hidden beast` number, since 2 + 6 + 2 + 0 + 22 + 40 + 578 + 9 + 1 + 6 = 666.

It is a super-2 number, since 2×26202240578916² (a number of 28 digits) contains 22 as substring.

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, 1990591351 + ... + 1990604513.

It is an arithmetic number, because the mean of its divisors is an integer number (256325787900).

Almost surely, 2^{26202240578916} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26202240578916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36910913457600).

26202240578916 is an abundant number, since it is smaller than the sum of its proper divisors (47619586336284).

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

26202240578916 is a wasteful number, since it uses less digits than its factorization.

26202240578916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15179 (or 15174 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 26202240578916 in words is "twenty-six trillion, two hundred two billion, two hundred forty million, five hundred seventy-eight thousand, nine hundred sixteen".