38481057054720 has 1024 divisors, whose sum is σ = 161413145395200. Its totient is φ = 8511726551040.

The previous prime is 38481057054691. The next prime is 38481057054743. The reversal of 38481057054720 is 2745075018483.

38481057054720 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 1 + 0 + 5 + 70 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 959918517 + ... + 959958603.

It is an arithmetic number, because the mean of its divisors is an integer number (157630024800).

Almost surely, 2^{38481057054720} is an apocalyptic number.

38481057054720 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 38481057054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80706572697600).

38481057054720 is an abundant number, since it is smaller than the sum of its proper divisors (122932088340480).

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

38481057054720 is an equidigital number, since it uses as much as digits as its factorization.

38481057054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40169 (or 40135 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 38481057054720 in words is "thirty-eight trillion, four hundred eighty-one billion, fifty-seven million, fifty-four thousand, seven hundred twenty".