2005553150400 has 168 divisors, whose sum is σ = 6757720972720. Its totient is φ = 520359690240.

The previous prime is 2005553150309. The next prime is 2005553150401. The reversal of 2005553150400 is 40513555002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005553150401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5468665 + ... + 5823864.

Almost surely, 2^{2005553150400} is an apocalyptic number.

2005553150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005553150400 is an abundant number, since it is smaller than the sum of its proper divisors (4752167822320).

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

2005553150400 is a wasteful number, since it uses less digits than its factorization.

2005553150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11292591 (or 11292576 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 2005553150400 in words is "two trillion, five billion, five hundred fifty-three million, one hundred fifty thousand, four hundred".