26532484440 has 256 divisors, whose sum is σ = 103553925120. Its totient is φ = 5273495040.

The previous prime is 26532484439. The next prime is 26532484441. The reversal of 26532484440 is 4448423562.

It is an interprime number because it is at equal distance from previous prime (26532484439) and next prime (26532484441).

It is a super-2 number, since 2×26532484440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26532484392 and 26532484401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26532484441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150097 + ... + 274943.

It is an arithmetic number, because the mean of its divisors is an integer number (404507520).

Almost surely, 2^26532484440 is an apocalyptic number.

26532484440 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 26532484440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51776962560).

26532484440 is an abundant number, since it is smaller than the sum of its proper divisors (77021440680).

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

26532484440 is a wasteful number, since it uses less digits than its factorization.

26532484440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124902 (or 124898 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 26532484440 in words is "twenty-six billion, five hundred thirty-two million, four hundred eighty-four thousand, four hundred forty".