26136463878000 has 1440 divisors, whose sum is σ = 115386780487680. Its totient is φ = 5476947840000.

The previous prime is 26136463877983. The next prime is 26136463878017. The reversal of 26136463878000 is 87836463162.

26136463878000 is a `hidden beast` number, since 26 + 1 + 3 + 6 + 463 + 87 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26136463877983) and next prime (26136463878017).

It is a super-2 number, since 2×26136463878000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 519472845 + ... + 519523155.

It is an arithmetic number, because the mean of its divisors is an integer number (80129708672).

Almost surely, 2^{26136463878000} is an apocalyptic number.

26136463878000 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 26136463878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57693390243840).

26136463878000 is an abundant number, since it is smaller than the sum of its proper divisors (89250316609680).

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

26136463878000 is a wasteful number, since it uses less digits than its factorization.

26136463878000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50404 (or 50378 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 26136463878000 in words is "twenty-six trillion, one hundred thirty-six billion, four hundred sixty-three million, eight hundred seventy-eight thousand".