26538351840 has 2304 divisors, whose sum is σ = 139363338240. Its totient is φ = 4538695680.

The previous prime is 26538351779. The next prime is 26538351869. The reversal of 26538351840 is 4815383562.

26538351840 is a `hidden beast` number, since 2 + 6 + 53 + 83 + 518 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1396755351 + ... + 1396755369.

It is an arithmetic number, because the mean of its divisors is an integer number (60487560).

Almost surely, 2^26538351840 is an apocalyptic number.

26538351840 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 26538351840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69681669120).

26538351840 is an abundant number, since it is smaller than the sum of its proper divisors (112824986400).

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

26538351840 is a wasteful number, since it uses less digits than its factorization.

26538351840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 26538351840 in words is "twenty-six billion, five hundred thirty-eight million, three hundred fifty-one thousand, eight hundred forty".