26961925675104 has 576 divisors, whose sum is σ = 93613792656384. Its totient is φ = 7193173413888.

The previous prime is 26961925675049. The next prime is 26961925675121. The reversal of 26961925675104 is 40157652916962.

26961925675104 is a `hidden beast` number, since 2 + 6 + 9 + 6 + 19 + 2 + 567 + 51 + 0 + 4 = 666.

It is a super-2 number, since 2×26961925675104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6485907394 + ... + 6485911550.

It is an arithmetic number, because the mean of its divisors is an integer number (162523945584).

Almost surely, 2^{26961925675104} is an apocalyptic number.

26961925675104 is a gapful number since it is divisible by the number (24) 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 26961925675104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46806896328192).

26961925675104 is an abundant number, since it is smaller than the sum of its proper divisors (66651866981280).

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

26961925675104 is a wasteful number, since it uses less digits than its factorization.

26961925675104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7499 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 26961925675104 in words is "twenty-six trillion, nine hundred sixty-one billion, nine hundred twenty-five million, six hundred seventy-five thousand, one hundred four".