26631920448 has 224 divisors, whose sum is σ = 92365291520. Its totient is φ = 7363560960.

The previous prime is 26631920423. The next prime is 26631920449. The reversal of 26631920448 is 84402913662.

26631920448 is a `hidden beast` number, since 2 + 6 + 631 + 9 + 2 + 0 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26631920449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339465 + ... + 410487.

Almost surely, 2^26631920448 is an apocalyptic number.

26631920448 is a gapful number since it is divisible by the number (28) 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 26631920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46182645760).

26631920448 is an abundant number, since it is smaller than the sum of its proper divisors (65733371072).

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

26631920448 is a wasteful number, since it uses less digits than its factorization.

26631920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71082 (or 71066 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 26631920448 in words is "twenty-six billion, six hundred thirty-one million, nine hundred twenty thousand, four hundred forty-eight".