26365150080 has 384 divisors, whose sum is σ = 96449633280. Its totient is φ = 6879209472.

The previous prime is 26365149983. The next prime is 26365150159. The reversal of 26365150080 is 8005156362.

26365150080 is a `hidden beast` number, since 2 + 63 + 6 + 515 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×26365150080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7307637 + ... + 7311243.

It is an arithmetic number, because the mean of its divisors is an integer number (251170920).

Almost surely, 2^26365150080 is an apocalyptic number.

26365150080 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 26365150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48224816640).

26365150080 is an abundant number, since it is smaller than the sum of its proper divisors (70084483200).

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

26365150080 is an equidigital number, since it uses as much as digits as its factorization.

26365150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 26365150080 in words is "twenty-six billion, three hundred sixty-five million, one hundred fifty thousand, eighty".