38513180160 has 1200 divisors, whose sum is σ = 171794959776. Its totient is φ = 8074100736.

The previous prime is 38513180159. The next prime is 38513180161. The reversal of 38513180160 is 6108131583.

38513180160 is a `hidden beast` number, since 3 + 8 + 513 + 1 + 80 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (38513180159) and next prime (38513180161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38513180161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245306802 + ... + 245306958.

Almost surely, 2^38513180160 is an apocalyptic number.

38513180160 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 38513180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85897479888).

38513180160 is an abundant number, since it is smaller than the sum of its proper divisors (133281779616).

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

38513180160 is a wasteful number, since it uses less digits than its factorization.

38513180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 38513180160 in words is "thirty-eight billion, five hundred thirteen million, one hundred eighty thousand, one hundred sixty".