10497648000 has 512 divisors, whose sum is σ = 40225536000. Its totient is φ = 2372198400.

The previous prime is 10497647977. The next prime is 10497648001. The reversal of 10497648000 is 84679401.

It is a happy number.

It is a super-2 number, since 2×10497648000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10497648000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497648001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52751901 + ... + 52752099.

It is an arithmetic number, because the mean of its divisors is an integer number (78565500).

Almost surely, 2^10497648000 is an apocalyptic number.

10497648000 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 10497648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20112768000).

10497648000 is an abundant number, since it is smaller than the sum of its proper divisors (29727888000).

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

10497648000 is a wasteful number, since it uses less digits than its factorization.

10497648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10497648000 in words is "ten billion, four hundred ninety-seven million, six hundred forty-eight thousand".