26539089472896 has 3072 divisors, whose sum is σ = 105692685926400. Its totient is φ = 5706215424000.

The previous prime is 26539089472871. The next prime is 26539089472919. The reversal of 26539089472896 is 69827498093562.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 208969208385 + ... + 208969208511.

It is an arithmetic number, because the mean of its divisors is an integer number (34405171200).

Almost surely, 2^{26539089472896} is an apocalyptic number.

26539089472896 is a gapful number since it is divisible by the number (26) 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 26539089472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52846342963200).

26539089472896 is an abundant number, since it is smaller than the sum of its proper divisors (79153596453504).

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

26539089472896 is a wasteful number, since it uses less digits than its factorization.

26539089472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 78.

The spelling of 26539089472896 in words is "twenty-six trillion, five hundred thirty-nine billion, eighty-nine million, four hundred seventy-two thousand, eight hundred ninety-six".