38893666560 has 288 divisors, whose sum is σ = 142203140352. Its totient is φ = 8874885120.

The previous prime is 38893666543. The next prime is 38893666571. The reversal of 38893666560 is 6566639883.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38893666494 and 38893666503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26261020 + ... + 26262500.

It is an arithmetic number, because the mean of its divisors is an integer number (493760904).

Almost surely, 2^38893666560 is an apocalyptic number.

38893666560 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 38893666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71101570176).

38893666560 is an abundant number, since it is smaller than the sum of its proper divisors (103309473792).

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

38893666560 is a wasteful number, since it uses less digits than its factorization.

38893666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 38893666560 in words is "thirty-eight billion, eight hundred ninety-three million, six hundred sixty-six thousand, five hundred sixty".