26534460240 has 240 divisors, whose sum is σ = 90694963008. Its totient is φ = 6950744064.

The previous prime is 26534460221. The next prime is 26534460283. The reversal of 26534460240 is 4206443562.

26534460240 is a `hidden beast` number, since 2 + 6 + 5 + 3 + 4 + 4 + 602 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 26534460195 and 26534460204.

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, 27158632 + ... + 27159608.

Almost surely, 2^26534460240 is an apocalyptic number.

26534460240 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 26534460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45347481504).

26534460240 is an abundant number, since it is smaller than the sum of its proper divisors (64160502768).

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

26534460240 is a wasteful number, since it uses less digits than its factorization.

26534460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 26534460240 in words is "twenty-six billion, five hundred thirty-four million, four hundred sixty thousand, two hundred forty".