1025490715200 has 2352 divisors, whose sum is σ = 4610213141760. Its totient is φ = 219469824000.

The previous prime is 1025490715157. The next prime is 1025490715237. The reversal of 1025490715200 is 25170945201.

1025490715200 is a `hidden beast` number, since 1 + 0 + 25 + 49 + 0 + 71 + 520 + 0 = 666.

It is a super-2 number, since 2×1025490715200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 14443531165 + ... + 14443531235.

Almost surely, 2^{1025490715200} is an apocalyptic number.

1025490715200 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 1025490715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305106570880).

1025490715200 is an abundant number, since it is smaller than the sum of its proper divisors (3584722426560).

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

1025490715200 is an equidigital number, since it uses as much as digits as its factorization.

1025490715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1025490715200 in words is "one trillion, twenty-five billion, four hundred ninety million, seven hundred fifteen thousand, two hundred".