26992002960 has 240 divisors, whose sum is σ = 103364103024. Its totient is φ = 6253314048.

The previous prime is 26992002959. The next prime is 26992003009. The reversal of 26992002960 is 6920029962.

It can be written as a sum of positive squares in 8 ways, for example, as 2551058064 + 24440944896 = 50508^2 + 156336^2 .

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 (45).

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, 74304 + ... + 243936.

Almost surely, 2^26992002960 is an apocalyptic number.

26992002960 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 26992002960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51682051512).

26992002960 is an abundant number, since it is smaller than the sum of its proper divisors (76372100064).

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

26992002960 is a wasteful number, since it uses less digits than its factorization.

26992002960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169682 (or 169673 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 26992002960 in words is "twenty-six billion, nine hundred ninety-two million, two thousand, nine hundred sixty".