38891146210560 has 864 divisors, whose sum is σ = 159882108422400. Its totient is φ = 8721633263616.

The previous prime is 38891146210537. The next prime is 38891146210597. The reversal of 38891146210560 is 6501264119883.

It is a happy number.

38891146210560 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 1 + 1 + 4 + 62 + 10 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38891146210497 and 38891146210506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209329227 + ... + 209514933.

It is an arithmetic number, because the mean of its divisors is an integer number (185048736600).

Almost surely, 2^{38891146210560} is an apocalyptic number.

38891146210560 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 38891146210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79941054211200).

38891146210560 is an abundant number, since it is smaller than the sum of its proper divisors (120990962211840).

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

38891146210560 is a wasteful number, since it uses less digits than its factorization.

38891146210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185808 (or 185777 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 38891146210560 in words is "thirty-eight trillion, eight hundred ninety-one billion, one hundred forty-six million, two hundred ten thousand, five hundred sixty".