9877085435200 has 672 divisors, whose sum is σ = 27090631802880. Its totient is φ = 3527641497600.

The previous prime is 9877085435177. The next prime is 9877085435213. The reversal of 9877085435200 is 25345807789.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20281489357 + ... + 20281489843.

Almost surely, 2^{9877085435200} 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 9877085435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545315901440).

9877085435200 is an abundant number, since it is smaller than the sum of its proper divisors (17213546367680).

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

9877085435200 is a wasteful number, since it uses less digits than its factorization.

9877085435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 9877085435200 in words is "nine trillion, eight hundred seventy-seven billion, eighty-five million, four hundred thirty-five thousand, two hundred".