26449187740920 has 512 divisors, whose sum is σ = 106154558208000. Its totient is φ = 5722339737600.

The previous prime is 26449187740919. The next prime is 26449187740981. The reversal of 26449187740920 is 2904778194462.

26449187740920 is a `hidden beast` number, since 2 + 6 + 4 + 49 + 187 + 7 + 409 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 165537070 + ... + 165696770.

It is an arithmetic number, because the mean of its divisors is an integer number (207333121500).

Almost surely, 2^{26449187740920} is an apocalyptic number.

26449187740920 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 26449187740920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53077279104000).

26449187740920 is an abundant number, since it is smaller than the sum of its proper divisors (79705370467080).

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

26449187740920 is a wasteful number, since it uses less digits than its factorization.

26449187740920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160900 (or 160890 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 26449187740920 in words is "twenty-six trillion, four hundred forty-nine billion, one hundred eighty-seven million, seven hundred forty thousand, nine hundred twenty".