26788890454560 has 1152 divisors, whose sum is σ = 100937244635136. Its totient is φ = 6430277836800.

The previous prime is 26788890454519. The next prime is 26788890454589. The reversal of 26788890454560 is 6545409888762.

26788890454560 is a `hidden beast` number, since 2 + 6 + 7 + 8 + 8 + 8 + 9 + 0 + 4 + 54 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 53258231269 + ... + 53258231771.

It is an arithmetic number, because the mean of its divisors is an integer number (87619135968).

Almost surely, 2^{26788890454560} is an apocalyptic number.

26788890454560 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 26788890454560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50468622317568).

26788890454560 is an abundant number, since it is smaller than the sum of its proper divisors (74148354180576).

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

26788890454560 is a wasteful number, since it uses less digits than its factorization.

26788890454560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 26788890454560 in words is "twenty-six trillion, seven hundred eighty-eight billion, eight hundred ninety million, four hundred fifty-four thousand, five hundred sixty".