26492362416 has 320 divisors, whose sum is σ = 88994304000. Its totient is φ = 7472424960.

The previous prime is 26492362363. The next prime is 26492362417. The reversal of 26492362416 is 61426329462.

26492362416 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 2 + 3 + 624 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26492362417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3303820 + ... + 3311828.

It is an arithmetic number, because the mean of its divisors is an integer number (278107200).

Almost surely, 2^26492362416 is an apocalyptic number.

26492362416 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 26492362416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44497152000).

26492362416 is an abundant number, since it is smaller than the sum of its proper divisors (62501941584).

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

26492362416 is a wasteful number, since it uses less digits than its factorization.

26492362416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8089 (or 8077 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 26492362416 in words is "twenty-six billion, four hundred ninety-two million, three hundred sixty-two thousand, four hundred sixteen".