26914877440000 has 640 divisors, whose sum is σ = 75386174014800. Its totient is φ = 9519759360000.

The previous prime is 26914877439977. The next prime is 26914877440049. The reversal of 26914877440000 is 4477841962.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×26914877440000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26914877440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8335358386 + ... + 8335361614.

Almost surely, 2^{26914877440000} is an apocalyptic number.

26914877440000 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 26914877440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37693087007400).

26914877440000 is an abundant number, since it is smaller than the sum of its proper divisors (48471296574800).

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

26914877440000 is an frugal number, since it uses more digits than its factorization.

26914877440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 26914877440000 in words is "twenty-six trillion, nine hundred fourteen billion, eight hundred seventy-seven million, four hundred forty thousand".