953394192199680 has 6656 divisors, whose sum is σ = 4313338557235200. Its totient is φ = 173903708160000.

The previous prime is 953394192199643. The next prime is 953394192199697. The reversal of 953394192199680 is 86991291493359.

It is a junction number, because it is equal to n+sod(n) for n = 953394192199596 and 953394192199605.

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 511 ways as a sum of consecutive naturals, for example, 12068280913881 + ... + 12068280913959.

Almost surely, 2^{953394192199680} 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 953394192199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156669278617600).

953394192199680 is an abundant number, since it is smaller than the sum of its proper divisors (3359944365035520).

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

953394192199680 is a wasteful number, since it uses less digits than its factorization.

953394192199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1020366720, while the sum is 78.

The spelling of 953394192199680 in words is "nine hundred fifty-three trillion, three hundred ninety-four billion, one hundred ninety-two million, one hundred ninety-nine thousand, six hundred eighty".