10203648000 has 832 divisors, whose sum is σ = 42361492992. Its totient is φ = 2123366400.

The previous prime is 10203647939. The next prime is 10203648017. The reversal of 10203648000 is 84630201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×10203648000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139775964 + ... + 139776036.

It is an arithmetic number, because the mean of its divisors is an integer number (50915256).

Almost surely, 2^10203648000 is an apocalyptic number.

10203648000 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 10203648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180746496).

10203648000 is an abundant number, since it is smaller than the sum of its proper divisors (32157844992).

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

10203648000 is an equidigital number, since it uses as much as digits as its factorization.

10203648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10203648000 in words is "ten billion, two hundred three million, six hundred forty-eight thousand".