38125268160 has 448 divisors, whose sum is σ = 143682232320. Its totient is φ = 8381399040.

The previous prime is 38125268081. The next prime is 38125268201. The reversal of 38125268160 is 6186252183.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 41038576 + ... + 41039504.

Almost surely, 2^38125268160 is an apocalyptic number.

38125268160 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 38125268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71841116160).

38125268160 is an abundant number, since it is smaller than the sum of its proper divisors (105556964160).

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

38125268160 is a wasteful number, since it uses less digits than its factorization.

38125268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 38125268160 in words is "thirty-eight billion, one hundred twenty-five million, two hundred sixty-eight thousand, one hundred sixty".