1025834805072 has 720 divisors, whose sum is σ = 3868983226368. Its totient is φ = 246025866240.

The previous prime is 1025834805053. The next prime is 1025834805097. The reversal of 1025834805072 is 2705084385201.

1025834805072 is a `hidden beast` number, since 1 + 0 + 2 + 58 + 3 + 480 + 50 + 72 = 666.

1025834805072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 214472793 + ... + 214477575.

Almost surely, 2^{1025834805072} is an apocalyptic number.

1025834805072 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 1025834805072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934491613184).

1025834805072 is an abundant number, since it is smaller than the sum of its proper divisors (2843148421296).

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

1025834805072 is a wasteful number, since it uses less digits than its factorization.

1025834805072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1025834805072 in words is "one trillion, twenty-five billion, eight hundred thirty-four million, eight hundred five thousand, seventy-two".