26643503040 has 1008 divisors, whose sum is σ = 112391903232. Its totient is φ = 5322240000.

The previous prime is 26643502999. The next prime is 26643503057. The reversal of 26643503040 is 4030534662.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 26643502992 and 26643503010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176446965 + ... + 176447115.

It is an arithmetic number, because the mean of its divisors is an integer number (111499904).

Almost surely, 2^26643503040 is an apocalyptic number.

26643503040 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 26643503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56195951616).

26643503040 is an abundant number, since it is smaller than the sum of its proper divisors (85748400192).

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

26643503040 is a wasteful number, since it uses less digits than its factorization.

26643503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 26643503040 in words is "twenty-six billion, six hundred forty-three million, five hundred three thousand, forty".