26416379136 has 288 divisors, whose sum is σ = 85404533760. Its totient is φ = 7080542208.

The previous prime is 26416379107. The next prime is 26416379167. The reversal of 26416379136 is 63197361462.

It is a super-2 number, since 2×26416379136² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10928200 + ... + 10930616.

It is an arithmetic number, because the mean of its divisors is an integer number (296543520).

Almost surely, 2^26416379136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26416379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42702266880).

26416379136 is an abundant number, since it is smaller than the sum of its proper divisors (58988154624).

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

26416379136 is a wasteful number, since it uses less digits than its factorization.

26416379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2555 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The spelling of 26416379136 in words is "twenty-six billion, four hundred sixteen million, three hundred seventy-nine thousand, one hundred thirty-six".