38987520000 has 960 divisors, whose sum is σ = 154741466880. Its totient is φ = 8601600000.

The previous prime is 38987519983. The next prime is 38987520049. The reversal of 38987520000 is 2578983.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 549119965 + ... + 549120035.

It is an arithmetic number, because the mean of its divisors is an integer number (161189028).

Almost surely, 2^38987520000 is an apocalyptic number.

38987520000 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 38987520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77370733440).

38987520000 is an abundant number, since it is smaller than the sum of its proper divisors (115753946880).

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

38987520000 is a wasteful number, since it uses less digits than its factorization.

38987520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 38987520000 in words is "thirty-eight billion, nine hundred eighty-seven million, five hundred twenty thousand".