10089192960 has 960 divisors, whose sum is σ = 44858271744. Its totient is φ = 2051850240.

The previous prime is 10089192901. The next prime is 10089192973. The reversal of 10089192960 is 6929198001.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10089192960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 214663657 + ... + 214663703.

Almost surely, 2^10089192960 is an apocalyptic number.

10089192960 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 10089192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22429135872).

10089192960 is an abundant number, since it is smaller than the sum of its proper divisors (34769078784).

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

10089192960 is an equidigital number, since it uses as much as digits as its factorization.

10089192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 10089192960 in words is "ten billion, eighty-nine million, one hundred ninety-two thousand, nine hundred sixty".