26980033536 has 297 divisors, whose sum is σ = 82073938921. Its totient is φ = 8536055808.

The previous prime is 26980033513. The next prime is 26980033537. The reversal of 26980033536 is 63533008962.

The square root of 26980033536 is 164256.

It is a perfect power (a square), and thus also a powerful number.

26980033536 is a `hidden beast` number, since 2 + 6 + 9 + 80 + 0 + 33 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14147675136 + 12832358400 = 118944^2 + 113280^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26980033491 and 26980033500.

It is not an unprimeable number, because it can be changed into a prime (26980033537) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 457288675 + ... + 457288733.

Almost surely, 2^26980033536 is an apocalyptic number.

26980033536 is the 164256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26980033536

26980033536 is an abundant number, since it is smaller than the sum of its proper divisors (55093905385).

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

26980033536 is an equidigital number, since it uses as much as digits as its factorization.

26980033536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 26980033536 in words is "twenty-six billion, nine hundred eighty million, thirty-three thousand, five hundred thirty-six".