996252075000 has 1536 divisors, whose sum is σ = 4357221120000. Its totient is φ = 209563200000.

The previous prime is 996252074957. The next prime is 996252075037. The reversal of 996252075000 is 570252699.

996252075000 is a `hidden beast` number, since 9 + 96 + 2 + 52 + 0 + 7 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3009824835 + ... + 3009825165.

It is an arithmetic number, because the mean of its divisors is an integer number (2836732500).

Almost surely, 2^996252075000 is an apocalyptic number.

996252075000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996252075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178610560000).

996252075000 is an abundant number, since it is smaller than the sum of its proper divisors (3360969045000).

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

996252075000 is a wasteful number, since it uses less digits than its factorization.

996252075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 996252075000 in words is "nine hundred ninety-six billion, two hundred fifty-two million, seventy-five thousand".