26499432960 has 1280 divisors, whose sum is σ = 126711889920. Its totient is φ = 5069537280.

The previous prime is 26499432959. The next prime is 26499433027. The reversal of 26499432960 is 6923499462.

26499432960 is a `hidden beast` number, since 2 + 64 + 99 + 432 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26499432897 and 26499432906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69188929 + ... + 69189311.

It is an arithmetic number, because the mean of its divisors is an integer number (98993664).

Almost surely, 2^26499432960 is an apocalyptic number.

26499432960 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 26499432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63355944960).

26499432960 is an abundant number, since it is smaller than the sum of its proper divisors (100212456960).

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

26499432960 is a wasteful number, since it uses less digits than its factorization.

26499432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 26499432960 in words is "twenty-six billion, four hundred ninety-nine million, four hundred thirty-two thousand, nine hundred sixty".