992866288752 has 240 divisors, whose sum is σ = 3004510337920. Its totient is φ = 304262811648.

The previous prime is 992866288747. The next prime is 992866288819. The reversal of 992866288752 is 257882668299.

It is a super-3 number, since 3×992866288752³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888868098 + ... + 888869214.

Almost surely, 2^992866288752 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 992866288752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502255168960).

992866288752 is an abundant number, since it is smaller than the sum of its proper divisors (2011644049168).

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

992866288752 is a wasteful number, since it uses less digits than its factorization.

992866288752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2631 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 992866288752 in words is "nine hundred ninety-two billion, eight hundred sixty-six million, two hundred eighty-eight thousand, seven hundred fifty-two".