27959982798400 has 189 divisors, whose sum is σ = 69309163306593. Its totient is φ = 11101673894400.

The previous prime is 27959982798281. The next prime is 27959982798413. The reversal of 27959982798400 is 489728995972.

The square root of 27959982798400 is 5287720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10065593807424 + 17894388990976 = 3172632^2 + 4230176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34475933995 + ... + 34475934805.

Almost surely, 2^{27959982798400} is an apocalyptic number.

27959982798400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27959982798400 is the 5287720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27959982798400

27959982798400 is an abundant number, since it is smaller than the sum of its proper divisors (41349180508193).

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

27959982798400 is an frugal number, since it uses more digits than its factorization.

27959982798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 79.

The spelling of 27959982798400 in words is "twenty-seven trillion, nine hundred fifty-nine billion, nine hundred eighty-two million, seven hundred ninety-eight thousand, four hundred".