1025295148800 has 1944 divisors, whose sum is σ = 4254569190144. Its totient is φ = 244034519040.

The previous prime is 1025295148777. The next prime is 1025295148841. The reversal of 1025295148800 is 88415925201.

1025295148800 is a `hidden beast` number, since 1 + 0 + 2 + 52 + 9 + 514 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 12352953559 + ... + 12352953641.

Almost surely, 2^{1025295148800} is an apocalyptic number.

1025295148800 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 1025295148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127284595072).

1025295148800 is an abundant number, since it is smaller than the sum of its proper divisors (3229274041344).

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

1025295148800 is an equidigital number, since it uses as much as digits as its factorization.

1025295148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 1025295148800 in words is "one trillion, twenty-five billion, two hundred ninety-five million, one hundred forty-eight thousand, eight hundred".