26061028416 has 378 divisors, whose sum is σ = 81595078110. Its totient is φ = 7950919680.

The previous prime is 26061028363. The next prime is 26061028417. The reversal of 26061028416 is 61482016062.

26061028416 is a `hidden beast` number, since 2 + 6 + 0 + 610 + 28 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18740514816 + 7320513600 = 136896^2 + 85560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26061028417) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 292820500 + ... + 292820588.

It is an arithmetic number, because the mean of its divisors is an integer number (215859995).

Almost surely, 2^26061028416 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 26061028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40797539055).

26061028416 is an abundant number, since it is smaller than the sum of its proper divisors (55534049694).

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

26061028416 is a wasteful number, since it uses less digits than its factorization.

26061028416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 26061028416 in words is "twenty-six billion, sixty-one million, twenty-eight thousand, four hundred sixteen".