26215440715200 has 672 divisors, whose sum is σ = 95558934551040. Its totient is φ = 6238402560000.

The previous prime is 26215440715151. The next prime is 26215440715207. The reversal of 26215440715200 is 251704451262.

It is a super-2 number, since 2×26215440715200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26215440715207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1639379205 + ... + 1639395195.

Almost surely, 2^{26215440715200} is an apocalyptic number.

26215440715200 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 26215440715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47779467275520).

26215440715200 is an abundant number, since it is smaller than the sum of its proper divisors (69343493835840).

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

26215440715200 is a wasteful number, since it uses less digits than its factorization.

26215440715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16597 (or 16582 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 26215440715200 in words is "twenty-six trillion, two hundred fifteen billion, four hundred forty million, seven hundred fifteen thousand, two hundred".