26883354144 has 96 divisors (see below), whose sum is σ = 74698848000. Its totient is φ = 8441950464.

The previous prime is 26883354089. The next prime is 26883354149. The reversal of 26883354144 is 44145338862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 26883354093 and 26883354102.

It is not an unprimeable number, because it can be changed into a prime (26883354149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285327 + ... + 367665.

It is an arithmetic number, because the mean of its divisors is an integer number (778113000).

Almost surely, 2^26883354144 is an apocalyptic number.

26883354144 is a gapful number since it is divisible by the number (24) 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 26883354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37349424000).

26883354144 is an abundant number, since it is smaller than the sum of its proper divisors (47815493856).

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

26883354144 is a wasteful number, since it uses less digits than its factorization.

26883354144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82550 (or 82542 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 26883354144 in words is "twenty-six billion, eight hundred eighty-three million, three hundred fifty-four thousand, one hundred forty-four".