2005539466500 has 480 divisors, whose sum is σ = 6817757506560. Its totient is φ = 512687232000.

The previous prime is 2005539466493. The next prime is 2005539466577. The reversal of 2005539466500 is 56649355002.

2005539466500 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 53 + 94 + 6 + 6 + 500 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134331036 + ... + 134345964.

It is an arithmetic number, because the mean of its divisors is an integer number (14203661472).

Almost surely, 2^{2005539466500} is an apocalyptic number.

2005539466500 is a gapful number since it is divisible by the number (20) 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 2005539466500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408878753280).

2005539466500 is an abundant number, since it is smaller than the sum of its proper divisors (4812218040060).

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

2005539466500 is a wasteful number, since it uses less digits than its factorization.

2005539466500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15098 (or 15077 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 2005539466500 in words is "two trillion, five billion, five hundred thirty-nine million, four hundred sixty-six thousand, five hundred".