26102465040 has 160 divisors (see below), whose sum is σ = 85766760576. Its totient is φ = 6544384000.

The previous prime is 26102465003. The next prime is 26102465047. The reversal of 26102465040 is 4056420162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26102464989 and 26102465007.

It is not an unprimeable number, because it can be changed into a prime (26102465047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4742290 + ... + 4747790.

Almost surely, 2^26102465040 is an apocalyptic number.

26102465040 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 26102465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42883380288).

26102465040 is an abundant number, since it is smaller than the sum of its proper divisors (59664295536).

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

26102465040 is a wasteful number, since it uses less digits than its factorization.

26102465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 26102465040 in words is "twenty-six billion, one hundred two million, four hundred sixty-five thousand, forty".