38053380096000 has 1520 divisors, whose sum is σ = 144883902271680. Its totient is φ = 9975575347200.

The previous prime is 38053380095999. The next prime is 38053380096001. The reversal of 38053380096000 is 69008335083.

38053380096000 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 3 + 38 + 0 + 0 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38053380095999) and next prime (38053380096001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38053380096001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 644972543971 + ... + 644972544029.

Almost surely, 2^{38053380096000} is an apocalyptic number.

38053380096000 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 38053380096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72441951135840).

38053380096000 is an abundant number, since it is smaller than the sum of its proper divisors (106830522175680).

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

38053380096000 is an frugal number, since it uses more digits than its factorization.

38053380096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 38053380096000 in words is "thirty-eight trillion, fifty-three billion, three hundred eighty million, ninety-six thousand".