550962432000 has 768 divisors, whose sum is σ = 2064666240000. Its totient is φ = 144919756800.

The previous prime is 550962431951. The next prime is 550962432019. The reversal of 550962432000 is 234269055.

550962432000 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 624 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546047496 + ... + 546048504.

It is an arithmetic number, because the mean of its divisors is an integer number (2688367500).

Almost surely, 2^550962432000 is an apocalyptic number.

550962432000 is a gapful number since it is divisible by the number (50) 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 550962432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032333120000).

550962432000 is an abundant number, since it is smaller than the sum of its proper divisors (1513703808000).

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

550962432000 is a wasteful number, since it uses less digits than its factorization.

550962432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 550962432000 in words is "five hundred fifty billion, nine hundred sixty-two million, four hundred thirty-two thousand".