26628503040 has 480 divisors, whose sum is σ = 98816889600. Its totient is φ = 6606766080.

The previous prime is 26628503029. The next prime is 26628503051. The reversal of 26628503040 is 4030582662.

26628503040 is a `hidden beast` number, since 26 + 628 + 5 + 0 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26628503029) and next prime (26628503051).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26628502986 and 26628503004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25827325 + ... + 25828355.

It is an arithmetic number, because the mean of its divisors is an integer number (205868520).

Almost surely, 2^26628503040 is an apocalyptic number.

26628503040 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 26628503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49408444800).

26628503040 is an abundant number, since it is smaller than the sum of its proper divisors (72188386560).

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

26628503040 is a wasteful number, since it uses less digits than its factorization.

26628503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 26628503040 in words is "twenty-six billion, six hundred twenty-eight million, five hundred three thousand, forty".