1000565250048 has 960 divisors, whose sum is σ = 3729293568000. Its totient is φ = 260234477568.

The previous prime is 1000565250017. The next prime is 1000565250077. The reversal of 1000565250048 is 8400525650001.

1000565250048 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 565 + 2 + 50 + 0 + 48 = 666.

It is a super-2 number, since 2×1000565250048² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000565249994 and 1000565250021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1192568413 + ... + 1192569251.

It is an arithmetic number, because the mean of its divisors is an integer number (3884680800).

Almost surely, 2^{1000565250048} is an apocalyptic number.

1000565250048 is a gapful number since it is divisible by the number (18) 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 1000565250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864646784000).

1000565250048 is an abundant number, since it is smaller than the sum of its proper divisors (2728728317952).

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

1000565250048 is an equidigital number, since it uses as much as digits as its factorization.

1000565250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 1000565250048 in words is "one trillion, five hundred sixty-five million, two hundred fifty thousand, forty-eight".