26215535022720 has 512 divisors, whose sum is σ = 85737616128000. Its totient is φ = 6811133952000.

The previous prime is 26215535022647. The next prime is 26215535022749. The reversal of 26215535022720 is 2722053551262.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8706586015 + ... + 8706589025.

It is an arithmetic number, because the mean of its divisors is an integer number (167456281500).

Almost surely, 2^{26215535022720} is an apocalyptic number.

26215535022720 is a gapful number since it is divisible by the number (20) 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 26215535022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42868808064000).

26215535022720 is an abundant number, since it is smaller than the sum of its proper divisors (59522081105280).

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

26215535022720 is a wasteful number, since it uses less digits than its factorization.

26215535022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

Adding to 26215535022720 its reverse (2722053551262), we get a palindrome (28937588573982).

The spelling of 26215535022720 in words is "twenty-six trillion, two hundred fifteen billion, five hundred thirty-five million, twenty-two thousand, seven hundred twenty".