10490648000 has 224 divisors, whose sum is σ = 30654394368. Its totient is φ = 3480192000.

The previous prime is 10490647991. The next prime is 10490648023. The reversal of 10490648000 is 84609401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×10490648000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1732979 + ... + 1739021.

Almost surely, 2^10490648000 is an apocalyptic number.

10490648000 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 10490648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327197184).

10490648000 is an abundant number, since it is smaller than the sum of its proper divisors (20163746368).

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

10490648000 is an equidigital number, since it uses as much as digits as its factorization.

10490648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10490648000 in words is "ten billion, four hundred ninety million, six hundred forty-eight thousand".