38016551808000 has 1056 divisors, whose sum is σ = 141561336863232. Its totient is φ = 9804533760000.

The previous prime is 38016551807959. The next prime is 38016551808031. The reversal of 38016551808000 is 80815561083.

38016551808000 is a `hidden beast` number, since 3 + 8 + 0 + 16 + 551 + 8 + 0 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×38016551808000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5102204275 + ... + 5102211725.

It is an arithmetic number, because the mean of its divisors is an integer number (134054296272).

Almost surely, 2^{38016551808000} is an apocalyptic number.

38016551808000 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 38016551808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70780668431616).

38016551808000 is an abundant number, since it is smaller than the sum of its proper divisors (103544785055232).

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

38016551808000 is a wasteful number, since it uses less digits than its factorization.

38016551808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 38016551808000 in words is "thirty-eight trillion, sixteen billion, five hundred fifty-one million, eight hundred eight thousand".