1004250562560 has 1536 divisors, whose sum is σ = 4292532014400. Its totient is φ = 221962567680.

The previous prime is 1004250562531. The next prime is 1004250562583. The reversal of 1004250562560 is 652650524001.

1004250562560 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 25 + 0 + 5 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8887173064 + ... + 8887173176.

Almost surely, 2^{1004250562560} is an apocalyptic number.

1004250562560 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 1004250562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146266007200).

1004250562560 is an abundant number, since it is smaller than the sum of its proper divisors (3288281451840).

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

1004250562560 is an equidigital number, since it uses as much as digits as its factorization.

1004250562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1004250562560 in words is "one trillion, four billion, two hundred fifty million, five hundred sixty-two thousand, five hundred sixty".