27950383104000 has 1280 divisors, whose sum is σ = 111054863462400. Its totient is φ = 6103970611200.

The previous prime is 27950383103969. The next prime is 27950383104037. The reversal of 27950383104000 is 40138305972.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31653887559 + ... + 31653888441.

It is an arithmetic number, because the mean of its divisors is an integer number (86761612080).

Almost surely, 2^{27950383104000} is an apocalyptic number.

27950383104000 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 27950383104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55527431731200).

27950383104000 is an abundant number, since it is smaller than the sum of its proper divisors (83104480358400).

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

27950383104000 is an frugal number, since it uses more digits than its factorization.

27950383104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 27950383104000 in words is "twenty-seven trillion, nine hundred fifty billion, three hundred eighty-three million, one hundred four thousand".