998970635520 has 864 divisors, whose sum is σ = 4299567277824. Its totient is φ = 210390220800.

The previous prime is 998970635489. The next prime is 998970635557. The reversal of 998970635520 is 25536079899.

998970635520 is a `hidden beast` number, since 9 + 9 + 8 + 9 + 70 + 6 + 3 + 552 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27987285 + ... + 28022955.

It is an arithmetic number, because the mean of its divisors is an integer number (4976351016).

Almost surely, 2^998970635520 is an apocalyptic number.

998970635520 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 998970635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149783638912).

998970635520 is an abundant number, since it is smaller than the sum of its proper divisors (3300596642304).

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

998970635520 is a wasteful number, since it uses less digits than its factorization.

998970635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35739 (or 35722 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 998970635520 in words is "nine hundred ninety-eight billion, nine hundred seventy million, six hundred thirty-five thousand, five hundred twenty".