38855194560 has 2016 divisors, whose sum is σ = 190740426240. Its totient is φ = 7309688832.

The previous prime is 38855194537. The next prime is 38855194603. The reversal of 38855194560 is 6549155883.

38855194560 is a `hidden beast` number, since 3 + 8 + 85 + 519 + 45 + 6 + 0 = 666.

38855194560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×38855194560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38855194497 and 38855194506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2045010231 + ... + 2045010249.

Almost surely, 2^38855194560 is an apocalyptic number.

38855194560 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 38855194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95370213120).

38855194560 is an abundant number, since it is smaller than the sum of its proper divisors (151885231680).

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

38855194560 is a wasteful number, since it uses less digits than its factorization.

38855194560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 38855194560 in words is "thirty-eight billion, eight hundred fifty-five million, one hundred ninety-four thousand, five hundred sixty".