10585016038800 has 360 divisors, whose sum is σ = 41998737129024. Its totient is φ = 2418381757440.

The previous prime is 10585016038787. The next prime is 10585016038853. The reversal of 10585016038800 is 883061058501.

10585016038800 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 501 + 60 + 3 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10585016038800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58701579 + ... + 58881621.

Almost surely, 2^{10585016038800} is an apocalyptic number.

10585016038800 is a gapful number since it is divisible by the number (10) 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 10585016038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20999368564512).

10585016038800 is an abundant number, since it is smaller than the sum of its proper divisors (31413721090224).

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

10585016038800 is a wasteful number, since it uses less digits than its factorization.

10585016038800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182407 (or 182393 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10585016038800 in words is "ten trillion, five hundred eighty-five billion, sixteen million, thirty-eight thousand, eight hundred".