9950186400000 has 1728 divisors, whose sum is σ = 43080674660352. Its totient is φ = 1976832000000.

The previous prime is 9950186399971. The next prime is 9950186400043. The reversal of 9950186400000 is 46810599.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4250398830 + ... + 4250401170.

It is an arithmetic number, because the mean of its divisors is an integer number (24930945984).

Almost surely, 2^{9950186400000} 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 9950186400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21540337330176).

9950186400000 is an abundant number, since it is smaller than the sum of its proper divisors (33130488260352).

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

9950186400000 is a wasteful number, since it uses less digits than its factorization.

9950186400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 9950186400000 in words is "nine trillion, nine hundred fifty billion, one hundred eighty-six million, four hundred thousand".