26504262540 has 288 divisors, whose sum is σ = 95353824384. Its totient is φ = 5832622080.

The previous prime is 26504262493. The next prime is 26504262559. The reversal of 26504262540 is 4526240562.

26504262540 is a `hidden beast` number, since 2 + 6 + 50 + 4 + 2 + 62 + 540 = 666.

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 = 26504262495 and 26504262504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4519210 + ... + 4525070.

It is an arithmetic number, because the mean of its divisors is an integer number (331089668).

Almost surely, 2^26504262540 is an apocalyptic number.

26504262540 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 26504262540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47676912192).

26504262540 is an abundant number, since it is smaller than the sum of its proper divisors (68849561844).

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

26504262540 is a wasteful number, since it uses less digits than its factorization.

26504262540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 26504262540 in words is "twenty-six billion, five hundred four million, two hundred sixty-two thousand, five hundred forty".