38054448960000 has 800 divisors, whose sum is σ = 138443695036416. Its totient is φ = 9209088000000.

The previous prime is 38054448959971. The next prime is 38054448960037. The reversal of 38054448960000 is 6984445083.

It is a tau number, because it is divible by the number of its divisors (800).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6663357145 + ... + 6663362855.

Almost surely, 2^{38054448960000} is an apocalyptic number.

38054448960000 is a gapful number since it is divisible by the number (30) 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 38054448960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69221847518208).

38054448960000 is an abundant number, since it is smaller than the sum of its proper divisors (100389246076416).

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

38054448960000 is an equidigital number, since it uses as much as digits as its factorization.

38054448960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 38054448960000 in words is "thirty-eight trillion, fifty-four billion, four hundred forty-eight million, nine hundred sixty thousand".