992758053952 has 168 divisors, whose sum is σ = 2368340485560. Its totient is φ = 411411087360.

The previous prime is 992758053949. The next prime is 992758053997. The reversal of 992758053952 is 259350857299.

It can be written as a sum of positive squares in 4 ways, for example, as 5389909056 + 987368144896 = 73416^2 + 993664^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14494924 + ... + 14563252.

It is an arithmetic number, because the mean of its divisors is an integer number (14097264795).

Almost surely, 2^992758053952 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 992758053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184170242780).

992758053952 is an abundant number, since it is smaller than the sum of its proper divisors (1375582431608).

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

992758053952 is a wasteful number, since it uses less digits than its factorization.

992758053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68509 (or 68492 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 64.

The spelling of 992758053952 in words is "nine hundred ninety-two billion, seven hundred fifty-eight million, fifty-three thousand, nine hundred fifty-two".