9876034529900 has 216 divisors, whose sum is σ = 27220089802752. Its totient is φ = 3075550800000.

The previous prime is 9876034529887. The next prime is 9876034529909. The reversal of 9876034529900 is 99254306789.

It is a happy number.

It is a super-2 number, since 2×9876034529900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9876034529909) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61959305 + ... + 62118495.

It is an arithmetic number, because the mean of its divisors is an integer number (126018934272).

Almost surely, 2^{9876034529900} 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 9876034529900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610044901376).

9876034529900 is an abundant number, since it is smaller than the sum of its proper divisors (17344055272852).

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

9876034529900 is a wasteful number, since it uses less digits than its factorization.

9876034529900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160381 (or 160367 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 62.

The spelling of 9876034529900 in words is "nine trillion, eight hundred seventy-six billion, thirty-four million, five hundred twenty-nine thousand, nine hundred".