38887819740000 has 5040 divisors, whose sum is σ = 186768453763584. Its totient is φ = 7790618880000.

The previous prime is 38887819739981. The next prime is 38887819740089. The reversal of 38887819740000 is 4791878883.

38887819740000 is a `hidden beast` number, since 38 + 8 + 8 + 7 + 8 + 197 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 38887819740000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 839 ways as a sum of consecutive naturals, for example, 580415219967 + ... + 580415220033.

Almost surely, 2^{38887819740000} is an apocalyptic number.

38887819740000 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 38887819740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93384226881792).

38887819740000 is an abundant number, since it is smaller than the sum of its proper divisors (147880634023584).

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

38887819740000 is an equidigital number, since it uses as much as digits as its factorization.

38887819740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 38887819740000 in words is "thirty-eight trillion, eight hundred eighty-seven billion, eight hundred nineteen million, seven hundred forty thousand".