38959812864000 has 1536 divisors, whose sum is σ = 166654135065600. Its totient is φ = 8904204288000.

The previous prime is 38959812863989. The next prime is 38959812864017. The reversal of 38959812864000 is 46821895983.

38959812864000 is a `hidden beast` number, since 3 + 89 + 59 + 81 + 28 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

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 127 ways as a sum of consecutive naturals, for example, 3919099030 + ... + 3919108970.

It is an arithmetic number, because the mean of its divisors is an integer number (108498785850).

Almost surely, 2^{38959812864000} is an apocalyptic number.

38959812864000 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 38959812864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83327067532800).

38959812864000 is an abundant number, since it is smaller than the sum of its proper divisors (127694322201600).

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

38959812864000 is an frugal number, since it uses more digits than its factorization.

38959812864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 38959812864000 in words is "thirty-eight trillion, nine hundred fifty-nine billion, eight hundred twelve million, eight hundred sixty-four thousand".