26551993104 has 400 divisors, whose sum is σ = 95281401600. Its totient is φ = 6951121920.

The previous prime is 26551993049. The next prime is 26551993147. The reversal of 26551993104 is 40139915562.

26551993104 is a `hidden beast` number, since 2 + 6 + 551 + 9 + 93 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26551993104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17571709 + ... + 17573219.

It is an arithmetic number, because the mean of its divisors is an integer number (238203504).

Almost surely, 2^26551993104 is an apocalyptic number.

26551993104 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 26551993104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47640700800).

26551993104 is an abundant number, since it is smaller than the sum of its proper divisors (68729408496).

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

26551993104 is a wasteful number, since it uses less digits than its factorization.

26551993104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 26551993104 in words is "twenty-six billion, five hundred fifty-one million, nine hundred ninety-three thousand, one hundred four".