10497584000 has 128 divisors (see below), whose sum is σ = 26164101600. Its totient is φ = 4188672000.

The previous prime is 10497583981. The next prime is 10497584003. The reversal of 10497584000 is 48579401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10497584000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497584003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12943595 + ... + 12944405.

Almost surely, 2^10497584000 is an apocalyptic number.

10497584000 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 10497584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082050800).

10497584000 is an abundant number, since it is smaller than the sum of its proper divisors (15666517600).

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

10497584000 is an frugal number, since it uses more digits than its factorization.

10497584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10497584000 in words is "ten billion, four hundred ninety-seven million, five hundred eighty-four thousand".