10003532400 has 360 divisors, whose sum is σ = 36406201104. Its totient is φ = 2637619200.

The previous prime is 10003532387. The next prime is 10003532459. The reversal of 10003532400 is 423530001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9427870 + ... + 9428930.

Almost surely, 2^10003532400 is an apocalyptic number.

10003532400 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 10003532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203100552).

10003532400 is an abundant number, since it is smaller than the sum of its proper divisors (26402668704).

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

10003532400 is a wasteful number, since it uses less digits than its factorization.

10003532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The spelling of 10003532400 in words is "ten billion, three million, five hundred thirty-two thousand, four hundred".