26415628111488 has 768 divisors, whose sum is σ = 89667396403200. Its totient is φ = 6743576125440.

The previous prime is 26415628111409. The next prime is 26415628111489. The reversal of 26415628111488 is 88411182651462.

It is not an unprimeable number, because it can be changed into a prime (26415628111489) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4502405131 + ... + 4502410997.

It is an arithmetic number, because the mean of its divisors is an integer number (116754422400).

Almost surely, 2^{26415628111488} is an apocalyptic number.

26415628111488 is a gapful number since it is divisible by the number (28) 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 26415628111488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44833698201600).

26415628111488 is an abundant number, since it is smaller than the sum of its proper divisors (63251768291712).

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

26415628111488 is a wasteful number, since it uses less digits than its factorization.

26415628111488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6149 (or 6126 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 57.

The spelling of 26415628111488 in words is "twenty-six trillion, four hundred fifteen billion, six hundred twenty-eight million, one hundred eleven thousand, four hundred eighty-eight".