10554163200 has 540 divisors, whose sum is σ = 43312731280. Its totient is φ = 2406481920.

The previous prime is 10554163199. The next prime is 10554163201. The reversal of 10554163200 is 236145501.

It is an interprime number because it is at equal distance from previous prime (10554163199) and next prime (10554163201).

It is a super-2 number, since 2×10554163200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10554163201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25804596 + ... + 25805004.

Almost surely, 2^10554163200 is an apocalyptic number.

10554163200 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 10554163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21656365640).

10554163200 is an abundant number, since it is smaller than the sum of its proper divisors (32758568080).

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

10554163200 is an equidigital number, since it uses as much as digits as its factorization.

10554163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10554163200 in words is "ten billion, five hundred fifty-four million, one hundred sixty-three thousand, two hundred".