990598950000 has 960 divisors, whose sum is σ = 3974100641280. Its totient is φ = 234144000000.

The previous prime is 990598949987. The next prime is 990598950001. The reversal of 990598950000 is 59895099.

990598950000 is a `hidden beast` number, since 9 + 9 + 0 + 59 + 89 + 500 + 0 + 0 = 666.

It is a super-2 number, since 2×990598950000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990598950001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 608849187 + ... + 608850813.

It is an arithmetic number, because the mean of its divisors is an integer number (4139688168).

Almost surely, 2^990598950000 is an apocalyptic number.

990598950000 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 990598950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987050320640).

990598950000 is an abundant number, since it is smaller than the sum of its proper divisors (2983501691280).

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

990598950000 is a wasteful number, since it uses less digits than its factorization.

990598950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 54.

The spelling of 990598950000 in words is "nine hundred ninety billion, five hundred ninety-eight million, nine hundred fifty thousand".