26153313046536 has 256 divisors, whose sum is σ = 78533975520000. Its totient is φ = 7170127921152.

The previous prime is 26153313046507. The next prime is 26153313046591. The reversal of 26153313046536 is 63564031335162.

It is a super-2 number, since 2×26153313046536² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143918100 + ... + 144099708.

It is an arithmetic number, because the mean of its divisors is an integer number (306773341875).

Almost surely, 2^{26153313046536} is an apocalyptic number.

26153313046536 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 26153313046536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39266987760000).

26153313046536 is an abundant number, since it is smaller than the sum of its proper divisors (52380662473464).

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

26153313046536 is a wasteful number, since it uses less digits than its factorization.

26153313046536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183096 (or 183092 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 48.

The spelling of 26153313046536 in words is "twenty-six trillion, one hundred fifty-three billion, three hundred thirteen million, forty-six thousand, five hundred thirty-six".