992953113600 has 528 divisors, whose sum is σ = 3871636453376. Its totient is φ = 219635712000.

The previous prime is 992953113547. The next prime is 992953113601. The reversal of 992953113600 is 6311359299.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 992953113600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992953113601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16635810 + ... + 16695390.

Almost surely, 2^992953113600 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 992953113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935818226688).

992953113600 is an abundant number, since it is smaller than the sum of its proper divisors (2878683339776).

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

992953113600 is a wasteful number, since it uses less digits than its factorization.

992953113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59652 (or 59629 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 48.

The spelling of 992953113600 in words is "nine hundred ninety-two billion, nine hundred fifty-three million, one hundred thirteen thousand, six hundred".