38573710144560 has 560 divisors, whose sum is σ = 135187386578496. Its totient is φ = 10231147210752.

The previous prime is 38573710144559. The next prime is 38573710144591. The reversal of 38573710144560 is 6544101737583.

38573710144560 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 3 + 71 + 0 + 1 + 4 + 4 + 560 = 666.

It is a super-2 number, since 2×38573710144560² (a number of 28 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 = 38573710144497 and 38573710144506.

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 111 ways as a sum of consecutive naturals, for example, 10936689517 + ... + 10936693043.

Almost surely, 2^{38573710144560} is an apocalyptic number.

38573710144560 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 38573710144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67593693289248).

38573710144560 is an abundant number, since it is smaller than the sum of its proper divisors (96613676433936).

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

38573710144560 is a wasteful number, since it uses less digits than its factorization.

38573710144560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 38573710144560 in words is "thirty-eight trillion, five hundred seventy-three billion, seven hundred ten million, one hundred forty-four thousand, five hundred sixty".