26887032480 has 576 divisors, whose sum is σ = 109055165184. Its totient is φ = 5447270400.

The previous prime is 26887032467. The next prime is 26887032509. The reversal of 26887032480 is 8423078862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16668154 + ... + 16669766.

It is an arithmetic number, because the mean of its divisors is an integer number (189331884).

Almost surely, 2^26887032480 is an apocalyptic number.

26887032480 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 26887032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54527582592).

26887032480 is an abundant number, since it is smaller than the sum of its proper divisors (82168132704).

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

26887032480 is a wasteful number, since it uses less digits than its factorization.

26887032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 26887032480 in words is "twenty-six billion, eight hundred eighty-seven million, thirty-two thousand, four hundred eighty".