38560977100800 has 2016 divisors, whose sum is σ = 174045948096384. Its totient is φ = 7927234560000.

The previous prime is 38560977100781. The next prime is 38560977100873. The reversal of 38560977100800 is 800177906583.

38560977100800 is a `hidden beast` number, since 3 + 8 + 560 + 9 + 7 + 71 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13766859400 + ... + 13766862200.

It is an arithmetic number, because the mean of its divisors is an integer number (86332315524).

Almost surely, 2^{38560977100800} is an apocalyptic number.

38560977100800 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 38560977100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87022974048192).

38560977100800 is an abundant number, since it is smaller than the sum of its proper divisors (135484970995584).

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

38560977100800 is a wasteful number, since it uses less digits than its factorization.

38560977100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 38560977100800 in words is "thirty-eight trillion, five hundred sixty billion, nine hundred seventy-seven million, one hundred thousand, eight hundred".