26511004080 has 320 divisors, whose sum is σ = 102833418240. Its totient is φ = 6219417600.

The previous prime is 26511004043. The next prime is 26511004081. The reversal of 26511004080 is 8040011562.

26511004080 is a `hidden beast` number, since 2 + 651 + 1 + 0 + 0 + 4 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26511004081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718564 + ... + 754556.

It is an arithmetic number, because the mean of its divisors is an integer number (321354432).

Almost surely, 2^26511004080 is an apocalyptic number.

26511004080 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 26511004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51416709120).

26511004080 is an abundant number, since it is smaller than the sum of its proper divisors (76322414160).

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

26511004080 is a wasteful number, since it uses less digits than its factorization.

26511004080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36057 (or 36045 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 26511004080 in words is "twenty-six billion, five hundred eleven million, four thousand, eighty".