1000094420520 has 384 divisors, whose sum is σ = 3710189901600. Its totient is φ = 231448707072.

The previous prime is 1000094420519. The next prime is 1000094420573. The reversal of 1000094420520 is 250244900001.

1000094420520 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 94 + 42 + 0 + 520 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 156279483684 + 843814936836 = 395322^2 + 918594^2 .

It is a super-3 number, since 3×1000094420520³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80588076 + ... + 80600484.

Almost surely, 2^{1000094420520} is an apocalyptic number.

1000094420520 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 1000094420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855094950800).

1000094420520 is an abundant number, since it is smaller than the sum of its proper divisors (2710095481080).

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

1000094420520 is a wasteful number, since it uses less digits than its factorization.

1000094420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13462 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1000094420520 in words is "one trillion, ninety-four million, four hundred twenty thousand, five hundred twenty".