10000551600 has 300 divisors, whose sum is σ = 38653664896. Its totient is φ = 2461570560.

The previous prime is 10000551577. The next prime is 10000551601. The reversal of 10000551600 is 615500001.

10000551600 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 5 + 51 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×10000551600² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10000551601) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 409329 + ... + 433071.

Almost surely, 2^10000551600 is an apocalyptic number.

10000551600 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 10000551600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326832448).

10000551600 is an abundant number, since it is smaller than the sum of its proper divisors (28653113296).

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

10000551600 is a wasteful number, since it uses less digits than its factorization.

10000551600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23786 (or 23766 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 10000551600 in words is "ten billion, five hundred fifty-one thousand, six hundred".