1004858265600 has 1248 divisors, whose sum is σ = 4277573479680. Its totient is φ = 229323571200.

The previous prime is 1004858265589. The next prime is 1004858265617. The reversal of 1004858265600 is 65628584001.

1004858265600 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 8 + 5 + 82 + 6 + 560 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1567641280 + ... + 1567641920.

Almost surely, 2^{1004858265600} is an apocalyptic number.

1004858265600 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 1004858265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138786739840).

1004858265600 is an abundant number, since it is smaller than the sum of its proper divisors (3272715214080).

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

1004858265600 is an frugal number, since it uses more digits than its factorization.

1004858265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1004858265600 in words is "one trillion, four billion, eight hundred fifty-eight million, two hundred sixty-five thousand, six hundred".