26648989602840 has 384 divisors, whose sum is σ = 101360849990400. Its totient is φ = 6237589317120.

The previous prime is 26648989602839. The next prime is 26648989602841. The reversal of 26648989602840 is 4820698984662.

26648989602840 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 8 + 9 + 8 + 9 + 602 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26648989602839) and next prime (26648989602841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26648989602841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196602 + ... + 7397961.

It is an arithmetic number, because the mean of its divisors is an integer number (263960546850).

Almost surely, 2^{26648989602840} is an apocalyptic number.

26648989602840 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 26648989602840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50680424995200).

26648989602840 is an abundant number, since it is smaller than the sum of its proper divisors (74711860387560).

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

26648989602840 is a wasteful number, since it uses less digits than its factorization.

26648989602840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8594629 (or 8594613 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 26648989602840 in words is "twenty-six trillion, six hundred forty-eight billion, nine hundred eighty-nine million, six hundred two thousand, eight hundred forty".