27964252060800 has 768 divisors, whose sum is σ = 103561985894400. Its totient is φ = 6573975552000.

The previous prime is 27964252060793. The next prime is 27964252060819. The reversal of 27964252060800 is 806025246972.

It is a happy number.

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, 540962955 + ... + 541014645.

It is an arithmetic number, because the mean of its divisors is an integer number (134846335800).

Almost surely, 2^{27964252060800} is an apocalyptic number.

27964252060800 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 27964252060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51780992947200).

27964252060800 is an abundant number, since it is smaller than the sum of its proper divisors (75597733833600).

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

27964252060800 is a wasteful number, since it uses less digits than its factorization.

27964252060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51885 (or 51868 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 27964252060800 in words is "twenty-seven trillion, nine hundred sixty-four billion, two hundred fifty-two million, sixty thousand, eight hundred".