10332552400 has 120 divisors (see below), whose sum is σ = 26677667520. Its totient is φ = 3831674880.

The previous prime is 10332552359. The next prime is 10332552509. The reversal of 10332552400 is 425523301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444261 + ... + 466939.

It is an arithmetic number, because the mean of its divisors is an integer number (222313896).

Almost surely, 2^10332552400 is an apocalyptic number.

10332552400 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 10332552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338833760).

10332552400 is an abundant number, since it is smaller than the sum of its proper divisors (16345115120).

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

10332552400 is a wasteful number, since it uses less digits than its factorization.

10332552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22781 (or 22770 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 10332552400 in words is "ten billion, three hundred thirty-two million, five hundred fifty-two thousand, four hundred".