26139448750968 has 384 divisors, whose sum is σ = 83616856727040. Its totient is φ = 7220949120000.

The previous prime is 26139448750903. The next prime is 26139448750981. The reversal of 26139448750968 is 86905784493162.

26139448750968 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 9 + 4 + 487 + 50 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 26139448750896 and 26139448750905.

It is a congruent number.

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, 6787702243 + ... + 6787706093.

It is an arithmetic number, because the mean of its divisors is an integer number (217752231060).

It is a 1-persistent number, because it is pandigital, but 2⋅26139448750968 = 52278897501936 is not.

Almost surely, 2^{26139448750968} is an apocalyptic number.

26139448750968 is a gapful number since it is divisible by the number (28) 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 26139448750968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41808428363520).

26139448750968 is an abundant number, since it is smaller than the sum of its proper divisors (57477407976072).

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

26139448750968 is a wasteful number, since it uses less digits than its factorization.

26139448750968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6099 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 26139448750968 in words is "twenty-six trillion, one hundred thirty-nine billion, four hundred forty-eight million, seven hundred fifty thousand, nine hundred sixty-eight".