5532001009920 has 1728 divisors, whose sum is σ = 24999835521024. Its totient is φ = 1095152762880.

The previous prime is 5532001009919. The next prime is 5532001009937. The reversal of 5532001009920 is 299001002355.

It is a happy number.

5532001009920 is a `hidden beast` number, since 5 + 532 + 0 + 0 + 10 + 0 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8099561899 + ... + 8099562581.

It is an arithmetic number, because the mean of its divisors is an integer number (14467497408).

Almost surely, 2^{5532001009920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5532001009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499917760512).

5532001009920 is an abundant number, since it is smaller than the sum of its proper divisors (19467834511104).

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

5532001009920 is a wasteful number, since it uses less digits than its factorization.

5532001009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 5532001009920 in words is "five trillion, five hundred thirty-two billion, one million, nine thousand, nine hundred twenty".