1009095086320 has 40 divisors (see below), whose sum is σ = 2363024850480. Its totient is φ = 400734159360.

The previous prime is 1009095086303. The next prime is 1009095086429. The reversal of 1009095086320 is 236805909001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1009095086320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45361861 + ... + 45384100.

It is an arithmetic number, because the mean of its divisors is an integer number (59075621262).

Almost surely, 2^{1009095086320} is an apocalyptic number.

1009095086320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009095086320 is an abundant number, since it is smaller than the sum of its proper divisors (1353929764160).

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

1009095086320 is a wasteful number, since it uses less digits than its factorization.

1009095086320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90746113 (or 90746107 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 1009095086320 in words is "one trillion, nine billion, ninety-five million, eighty-six thousand, three hundred twenty".