26898721920 has 1024 divisors, whose sum is σ = 117315993600. Its totient is φ = 5685313536.

The previous prime is 26898721901. The next prime is 26898721961. The reversal of 26898721920 is 2912789862.

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

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, 211800897 + ... + 211801023.

It is an arithmetic number, because the mean of its divisors is an integer number (114566400).

Almost surely, 2^26898721920 is an apocalyptic number.

26898721920 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 26898721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58657996800).

26898721920 is an abundant number, since it is smaller than the sum of its proper divisors (90417271680).

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

26898721920 is a wasteful number, since it uses less digits than its factorization.

26898721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 26898721920 in words is "twenty-six billion, eight hundred ninety-eight million, seven hundred twenty-one thousand, nine hundred twenty".