1025712734592 has 1024 divisors, whose sum is σ = 3644128051200. Its totient is φ = 248123326464.

The previous prime is 1025712734581. The next prime is 1025712734653. The reversal of 1025712734592 is 2954372175201.

It is a super-2 number, since 2×1025712734592² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3624426483 + ... + 3624426765.

It is an arithmetic number, because the mean of its divisors is an integer number (3558718800).

Almost surely, 2^{1025712734592} is an apocalyptic number.

1025712734592 is a gapful number since it is divisible by the number (12) 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 1025712734592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822064025600).

1025712734592 is an abundant number, since it is smaller than the sum of its proper divisors (2618415316608).

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

1025712734592 is a wasteful number, since it uses less digits than its factorization.

1025712734592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 1025712734592 in words is "one trillion, twenty-five billion, seven hundred twelve million, seven hundred thirty-four thousand, five hundred ninety-two".