9877671590400 has 1080 divisors, whose sum is σ = 36711202207680. Its totient is φ = 2535894466560.

The previous prime is 9877671590387. The next prime is 9877671590407. The reversal of 9877671590400 is 40951767789.

9877671590400 is a `hidden beast` number, since 9 + 8 + 7 + 76 + 7 + 159 + 0 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (9877671590407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16827378907 + ... + 16827379493.

It is an arithmetic number, because the mean of its divisors is an integer number (33991853896).

Almost surely, 2^{9877671590400} is an apocalyptic number.

9877671590400 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 9877671590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355601103840).

9877671590400 is an abundant number, since it is smaller than the sum of its proper divisors (26833530617280).

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

9877671590400 is a wasteful number, since it uses less digits than its factorization.

9877671590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 9877671590400 in words is "nine trillion, eight hundred seventy-seven billion, six hundred seventy-one million, five hundred ninety thousand, four hundred".