9287880940800 has 1080 divisors, whose sum is σ = 42815595168192. Its totient is φ = 1929940992000.

The previous prime is 9287880940777. The next prime is 9287880940837. The reversal of 9287880940800 is 80490887829.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39800460 + ... + 40033140.

Almost surely, 2^{9287880940800} is an apocalyptic number.

9287880940800 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 9287880940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407797584096).

9287880940800 is an abundant number, since it is smaller than the sum of its proper divisors (33527714227392).

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

9287880940800 is a wasteful number, since it uses less digits than its factorization.

9287880940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232737 (or 232709 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 9287880940800 in words is "nine trillion, two hundred eighty-seven billion, eight hundred eighty million, nine hundred forty thousand, eight hundred".