26465362560 has 576 divisors, whose sum is σ = 114502195080. Its totient is φ = 5583126528.

The previous prime is 26465362543. The next prime is 26465362571. The reversal of 26465362560 is 6526356462.

26465362560 is a `hidden beast` number, since 2 + 64 + 6 + 536 + 2 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20825953344 + 5639409216 = 144312^2 + 75096^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3665514 + ... + 3672726.

Almost surely, 2^26465362560 is an apocalyptic number.

26465362560 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 26465362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57251097540).

26465362560 is an abundant number, since it is smaller than the sum of its proper divisors (88036832520).

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

26465362560 is a wasteful number, since it uses less digits than its factorization.

26465362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 26465362560 in words is "twenty-six billion, four hundred sixty-five million, three hundred sixty-two thousand, five hundred sixty".