990215856000 has 1536 divisors, whose sum is σ = 4319153280000. Its totient is φ = 212369817600.

The previous prime is 990215855971. The next prime is 990215856023. The reversal of 990215856000 is 658512099.

990215856000 is a `hidden beast` number, since 9 + 9 + 0 + 2 + 1 + 585 + 60 + 0 + 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 191 ways as a sum of consecutive naturals, for example, 2853647827 + ... + 2853648173.

It is an arithmetic number, because the mean of its divisors is an integer number (2811948750).

Almost surely, 2^990215856000 is an apocalyptic number.

990215856000 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 990215856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159576640000).

990215856000 is an abundant number, since it is smaller than the sum of its proper divisors (3328937424000).

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

990215856000 is a wasteful number, since it uses less digits than its factorization.

990215856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 990215856000 in words is "nine hundred ninety billion, two hundred fifteen million, eight hundred fifty-six thousand".