27954331680000 has 720 divisors, whose sum is σ = 101512735676352. Its totient is φ = 6770688000000.

The previous prime is 27954331679977. The next prime is 27954331680001. The reversal of 27954331680000 is 8613345972.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27954331680001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9192478480 + ... + 9192481520.

It is a 1-persistent number, because it is pandigital, but 2⋅27954331680000 = 55908663360000 is not.

Almost surely, 2^{27954331680000} is an apocalyptic number.

27954331680000 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 27954331680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50756367838176).

27954331680000 is an abundant number, since it is smaller than the sum of its proper divisors (73558403996352).

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

27954331680000 is a wasteful number, since it uses less digits than its factorization.

27954331680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 27954331680000 in words is "twenty-seven trillion, nine hundred fifty-four billion, three hundred thirty-one million, six hundred eighty thousand".