1025350824960 has 2376 divisors, whose sum is σ = 4744877548320. Its totient is φ = 211527106560.

The previous prime is 1025350824943. The next prime is 1025350825039. The reversal of 1025350824960 is 694280535201.

1025350824960 is a `hidden beast` number, since 1 + 0 + 2 + 53 + 508 + 2 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7376624571 + ... + 7376624709.

Almost surely, 2^{1025350824960} is an apocalyptic number.

1025350824960 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 1025350824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372438774160).

1025350824960 is an abundant number, since it is smaller than the sum of its proper divisors (3719526723360).

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

1025350824960 is a wasteful number, since it uses less digits than its factorization.

1025350824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1025350824960 in words is "one trillion, twenty-five billion, three hundred fifty million, eight hundred twenty-four thousand, nine hundred sixty".