207993105792 has 576 divisors, whose sum is σ = 677058782400. Its totient is φ = 61102080000.

The previous prime is 207993105787. The next prime is 207993105829. The reversal of 207993105792 is 297501399702.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×207993105792² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 828657667 + ... + 828657917.

It is an arithmetic number, because the mean of its divisors is an integer number (1175449275).

Almost surely, 2^207993105792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207993105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338529391200).

207993105792 is an abundant number, since it is smaller than the sum of its proper divisors (469065676608).

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

207993105792 is a wasteful number, since it uses less digits than its factorization.

207993105792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 207993105792 in words is "two hundred seven billion, nine hundred ninety-three million, one hundred five thousand, seven hundred ninety-two".