201600679104 has 168 divisors, whose sum is σ = 630612473088. Its totient is φ = 61068971520.

The previous prime is 201600679099. The next prime is 201600679127. The reversal of 201600679104 is 401976006102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28933029 + ... + 28939995.

Almost surely, 2^201600679104 is an apocalyptic number.

201600679104 is a gapful number since it is divisible by the number (24) 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 201600679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315306236544).

201600679104 is an abundant number, since it is smaller than the sum of its proper divisors (429011793984).

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

201600679104 is a wasteful number, since it uses less digits than its factorization.

201600679104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11563 (or 11550 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 201600679104 in words is "two hundred one billion, six hundred million, six hundred seventy-nine thousand, one hundred four".