1004599825152 has 1152 divisors, whose sum is σ = 3645057024000. Its totient is φ = 242771558400.

The previous prime is 1004599825139. The next prime is 1004599825181. The reversal of 1004599825152 is 2515289954001.

It is a junction number, because it is equal to n+sod(n) for n = 1004599825095 and 1004599825104.

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, 3908948608 + ... + 3908948864.

It is an arithmetic number, because the mean of its divisors is an integer number (3164112000).

Almost surely, 2^{1004599825152} is an apocalyptic number.

1004599825152 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 1004599825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822528512000).

1004599825152 is an abundant number, since it is smaller than the sum of its proper divisors (2640457198848).

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

1004599825152 is a wasteful number, since it uses less digits than its factorization.

1004599825152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 51.

The spelling of 1004599825152 in words is "one trillion, four billion, five hundred ninety-nine million, eight hundred twenty-five thousand, one hundred fifty-two".