38573660160 has 768 divisors, whose sum is σ = 165110400000. Its totient is φ = 8344829952.

The previous prime is 38573660159. The next prime is 38573660201. The reversal of 38573660160 is 6106637583.

38573660160 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 36 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36771316 + ... + 36772364.

It is an arithmetic number, because the mean of its divisors is an integer number (214987500).

Almost surely, 2^38573660160 is an apocalyptic number.

38573660160 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 38573660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200000).

38573660160 is an abundant number, since it is smaller than the sum of its proper divisors (126536739840).

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

38573660160 is a wasteful number, since it uses less digits than its factorization.

38573660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 38573660160 in words is "thirty-eight billion, five hundred seventy-three million, six hundred sixty thousand, one hundred sixty".