1025304652800 has 528 divisors, whose sum is σ = 3986734252320. Its totient is φ = 257328414720.

The previous prime is 1025304652789. The next prime is 1025304652807. The reversal of 1025304652800 is 82564035201.

1025304652800 is a `hidden beast` number, since 1 + 0 + 2 + 530 + 46 + 5 + 2 + 80 + 0 = 666.

1025304652800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1025304652807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11706772 + ... + 11794028.

Almost surely, 2^{1025304652800} is an apocalyptic number.

1025304652800 is a gapful number since it is divisible by the number (10) 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 1025304652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993367126160).

1025304652800 is an abundant number, since it is smaller than the sum of its proper divisors (2961429599520).

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

1025304652800 is a wasteful number, since it uses less digits than its factorization.

1025304652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87313 (or 87284 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1025304652800 in words is "one trillion, twenty-five billion, three hundred four million, six hundred fifty-two thousand, eight hundred".