1025088000 has 320 divisors, whose sum is σ = 3600305280. Its totient is φ = 258048000.

The previous prime is 1025087953. The next prime is 1025088013. The reversal of 1025088000 is 8805201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3647860 + ... + 3648140.

It is an arithmetic number, because the mean of its divisors is an integer number (11250954).

Almost surely, 2^1025088000 is an apocalyptic number.

1025088000 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 1025088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800152640).

1025088000 is an abundant number, since it is smaller than the sum of its proper divisors (2575217280).

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

1025088000 is an equidigital number, since it uses as much as digits as its factorization.

1025088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1025088000 is about 32016.9954867723. The cubic root of 1025088000 is about 1008.2936911917.

The spelling of 1025088000 in words is "one billion, twenty-five million, eighty-eight thousand".