9200050876800 has 1152 divisors, whose sum is σ = 39159660496320. Its totient is φ = 2012774400000.

The previous prime is 9200050876777. The next prime is 9200050876811. The reversal of 9200050876800 is 86780500029.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×9200050876800² (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 a congruent number.

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, 438066300 + ... + 438087300.

Almost surely, 2^{9200050876800} is an apocalyptic number.

9200050876800 is a gapful number since it is divisible by the number (90) 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 9200050876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19579830248160).

9200050876800 is an abundant number, since it is smaller than the sum of its proper divisors (29959609619520).

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

9200050876800 is a wasteful number, since it uses less digits than its factorization.

9200050876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21132 (or 21112 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 9200050876800 in words is "nine trillion, two hundred billion, fifty million, eight hundred seventy-six thousand, eight hundred".