26361216000 has 792 divisors, whose sum is σ = 110740505616. Its totient is φ = 6012518400.

The previous prime is 26361215987. The next prime is 26361216019. The reversal of 26361216000 is 61216362.

26361216000 is a `hidden beast` number, since 2 + 6 + 36 + 1 + 21 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56447767 + ... + 56448233.

Almost surely, 2^26361216000 is an apocalyptic number.

26361216000 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 26361216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55370252808).

26361216000 is an abundant number, since it is smaller than the sum of its proper divisors (84379289616).

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

26361216000 is a wasteful number, since it uses less digits than its factorization.

26361216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 26361216000 in words is "twenty-six billion, three hundred sixty-one million, two hundred sixteen thousand".