26461533516462 has 384 divisors, whose sum is σ = 70108851456000. Its totient is φ = 7311352688640.

The previous prime is 26461533516389. The next prime is 26461533516487.

26461533516462 is a `hidden beast` number, since 2 + 6 + 4 + 61 + 5 + 3 + 3 + 516 + 4 + 62 = 666.

26461533516462 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26461533516399 and 26461533516408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3303970714 + ... + 3303978722.

It is an arithmetic number, because the mean of its divisors is an integer number (182575134000).

Almost surely, 2^{26461533516462} is an apocalyptic number.

26461533516462 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26461533516462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35054425728000).

26461533516462 is an abundant number, since it is smaller than the sum of its proper divisors (43647317939538).

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

26461533516462 is a wasteful number, since it uses less digits than its factorization.

26461533516462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361 (or 8318 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 26461533516462 in words is "twenty-six trillion, four hundred sixty-one billion, five hundred thirty-three million, five hundred sixteen thousand, four hundred sixty-two".