26624426628480 has 256 divisors, whose sum is σ = 85073023491840. Its totient is φ = 7082495631360.

The previous prime is 26624426628469. The next prime is 26624426628509. The reversal of 26624426628480 is 8482662442662.

It is a super-2 number, since 2×26624426628480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 1366536819 + ... + 1366556301.

It is an arithmetic number, because the mean of its divisors is an integer number (332316498015).

Almost surely, 2^{26624426628480} is an apocalyptic number.

26624426628480 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 26624426628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42536511745920).

26624426628480 is an abundant number, since it is smaller than the sum of its proper divisors (58448596863360).

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

26624426628480 is a wasteful number, since it uses less digits than its factorization.

26624426628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21209 (or 21197 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 60.

The spelling of 26624426628480 in words is "twenty-six trillion, six hundred twenty-four billion, four hundred twenty-six million, six hundred twenty-eight thousand, four hundred eighty".