1005000056424 has 320 divisors, whose sum is σ = 3485064844800. Its totient is φ = 265052331648.

The previous prime is 1005000056369. The next prime is 1005000056471. The reversal of 1005000056424 is 4246500005001.

1005000056424 is a `hidden beast` number, since 10 + 0 + 5 + 0 + 0 + 0 + 0 + 5 + 642 + 4 = 666.

It is a super-2 number, since 2×1005000056424² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9915169 + ... + 10016015.

It is an arithmetic number, because the mean of its divisors is an integer number (10890827640).

Almost surely, 2^{1005000056424} is an apocalyptic number.

1005000056424 is a gapful number since it is divisible by the number (14) 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 1005000056424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742532422400).

1005000056424 is an abundant number, since it is smaller than the sum of its proper divisors (2480064788376).

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

1005000056424 is a wasteful number, since it uses less digits than its factorization.

1005000056424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100911 (or 100872 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 1005000056424 in words is "one trillion, five billion, fifty-six thousand, four hundred twenty-four".