2005129526400 has 1728 divisors, whose sum is σ = 9680699770560. Its totient is φ = 384539443200.

The previous prime is 2005129526381. The next prime is 2005129526401. The reversal of 2005129526400 is 46259215002.

2005129526400 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 1 + 2 + 9 + 5 + 2 + 640 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2005129526401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 317113639 + ... + 317119961.

Almost surely, 2^{2005129526400} is an apocalyptic number.

2005129526400 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 2005129526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840349885280).

2005129526400 is an abundant number, since it is smaller than the sum of its proper divisors (7675570244160).

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

2005129526400 is a wasteful number, since it uses less digits than its factorization.

2005129526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2005129526400 in words is "two trillion, five billion, one hundred twenty-nine million, five hundred twenty-six thousand, four hundred".