38125164804480 has 384 divisors, whose sum is σ = 144453027438720. Its totient is φ = 9207586013184.

The previous prime is 38125164804457. The next prime is 38125164804487. The reversal of 38125164804480 is 8440846152183.

38125164804480 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 516 + 4 + 8 + 0 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38125164804487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834664 + ... + 8771943.

It is an arithmetic number, because the mean of its divisors is an integer number (376179758955).

Almost surely, 2^{38125164804480} is an apocalyptic number.

38125164804480 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 38125164804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72226513719360).

38125164804480 is an abundant number, since it is smaller than the sum of its proper divisors (106327862634240).

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

38125164804480 is a wasteful number, since it uses less digits than its factorization.

38125164804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9606698 (or 9606683 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 38125164804480 in words is "thirty-eight trillion, one hundred twenty-five billion, one hundred sixty-four million, eight hundred four thousand, four hundred eighty".