26987433377408 has 128 divisors (see below), whose sum is σ = 65065633862400. Its totient is φ = 10884575969280.

The previous prime is 26987433377383. The next prime is 26987433377431. The reversal of 26987433377408 is 80477333478962.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158190458 + ... + 158360966.

It is an arithmetic number, because the mean of its divisors is an integer number (508325264550).

Almost surely, 2^{26987433377408} is an apocalyptic number.

26987433377408 is a gapful number since it is divisible by the number (28) 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 26987433377408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32532816931200).

26987433377408 is an abundant number, since it is smaller than the sum of its proper divisors (38078200484992).

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

26987433377408 is a wasteful number, since it uses less digits than its factorization.

26987433377408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180938 (or 180926 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 71.

The spelling of 26987433377408 in words is "twenty-six trillion, nine hundred eighty-seven billion, four hundred thirty-three million, three hundred seventy-seven thousand, four hundred eight".