26665748480 has 384 divisors, whose sum is σ = 78686899200. Its totient is φ = 8465154048.

The previous prime is 26665748471. The next prime is 26665748489. The reversal of 26665748480 is 8484756662.

It is an interprime number because it is at equal distance from previous prime (26665748471) and next prime (26665748489).

It is a super-2 number, since 2×26665748480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (26665748489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96266102 + ... + 96266378.

It is an arithmetic number, because the mean of its divisors is an integer number (204913800).

Almost surely, 2^26665748480 is an apocalyptic number.

26665748480 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 26665748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39343449600).

26665748480 is an abundant number, since it is smaller than the sum of its proper divisors (52021150720).

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

26665748480 is a wasteful number, since it uses less digits than its factorization.

26665748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 26665748480 in words is "twenty-six billion, six hundred sixty-five million, seven hundred forty-eight thousand, four hundred eighty".