26316126144 has 672 divisors, whose sum is σ = 97638607872. Its totient is φ = 6580224000.

The previous prime is 26316126143. The next prime is 26316126173. The reversal of 26316126144 is 44162161362.

26316126144 is a `hidden beast` number, since 2 + 6 + 31 + 6 + 1 + 2 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26316126099 and 26316126108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26316126143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192088444 + ... + 192088580.

Almost surely, 2^26316126144 is an apocalyptic number.

26316126144 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 26316126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48819303936).

26316126144 is an abundant number, since it is smaller than the sum of its proper divisors (71322481728).

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

26316126144 is a wasteful number, since it uses less digits than its factorization.

26316126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 26316126144 in words is "twenty-six billion, three hundred sixteen million, one hundred twenty-six thousand, one hundred forty-four".