26854620416000 has 768 divisors, whose sum is σ = 76275721267200. Its totient is φ = 9362276352000.

The previous prime is 26854620415967. The next prime is 26854620416017. The reversal of 26854620416000 is 61402645862.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6046973780 + ... + 6046978220.

It is an arithmetic number, because the mean of its divisors is an integer number (99317345400).

Almost surely, 2^{26854620416000} is an apocalyptic number.

26854620416000 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 26854620416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38137860633600).

26854620416000 is an abundant number, since it is smaller than the sum of its proper divisors (49421100851200).

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

26854620416000 is a wasteful number, since it uses less digits than its factorization.

26854620416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 26854620416000 in words is "twenty-six trillion, eight hundred fifty-four billion, six hundred twenty million, four hundred sixteen thousand".