26822970720 has 1152 divisors, whose sum is σ = 121074186240. Its totient is φ = 5399654400.

The previous prime is 26822970703. The next prime is 26822970761. The reversal of 26822970720 is 2707922862.

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 191 ways as a sum of consecutive naturals, for example, 377788285 + ... + 377788355.

It is an arithmetic number, because the mean of its divisors is an integer number (105099120).

Almost surely, 2^26822970720 is an apocalyptic number.

26822970720 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 26822970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60537093120).

26822970720 is an abundant number, since it is smaller than the sum of its proper divisors (94251215520).

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

26822970720 is a wasteful number, since it uses less digits than its factorization.

26822970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 26822970720 in words is "twenty-six billion, eight hundred twenty-two million, nine hundred seventy thousand, seven hundred twenty".