990536601600 has 2496 divisors, whose sum is σ = 4659470663680. Its totient is φ = 200658124800.

The previous prime is 990536601559. The next prime is 990536601601. The reversal of 990536601600 is 6106635099.

990536601600 is a `hidden beast` number, since 9 + 9 + 0 + 5 + 36 + 6 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is not an unprimeable number, because it can be changed into a prime (990536601601) 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, 7799500737 + ... + 7799500863.

Almost surely, 2^990536601600 is an apocalyptic number.

990536601600 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 990536601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329735331840).

990536601600 is an abundant number, since it is smaller than the sum of its proper divisors (3668934062080).

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

990536601600 is a wasteful number, since it uses less digits than its factorization.

990536601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 990536601600 in words is "nine hundred ninety billion, five hundred thirty-six million, six hundred one thousand, six hundred".