26720898361344 has 384 divisors, whose sum is σ = 86472680112000. Its totient is φ = 8085690777600.

The previous prime is 26720898361321. The next prime is 26720898361429. The reversal of 26720898361344 is 44316389802762.

26720898361344 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 0 + 8 + 9 + 8 + 3 + 613 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431222524 + ... + 431284484.

It is an arithmetic number, because the mean of its divisors is an integer number (225189271125).

Almost surely, 2^{26720898361344} is an apocalyptic number.

26720898361344 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 26720898361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43236340056000).

26720898361344 is an abundant number, since it is smaller than the sum of its proper divisors (59751781750656).

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

26720898361344 is a wasteful number, since it uses less digits than its factorization.

26720898361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62712 (or 62686 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 26720898361344 in words is "twenty-six trillion, seven hundred twenty billion, eight hundred ninety-eight million, three hundred sixty-one thousand, three hundred forty-four".