10556746200 has 1728 divisors, whose sum is σ = 51866680320. Its totient is φ = 1959552000.

The previous prime is 10556746181. The next prime is 10556746217. The reversal of 10556746200 is 264765501.

It is a happy number.

10556746200 is a `hidden beast` number, since 10 + 556 + 74 + 6 + 20 + 0 = 666.

It is a super-2 number, since 2×10556746200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 340540185 + ... + 340540215.

It is an arithmetic number, because the mean of its divisors is an integer number (30015440).

Almost surely, 2^10556746200 is an apocalyptic number.

10556746200 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 10556746200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933340160).

10556746200 is an abundant number, since it is smaller than the sum of its proper divisors (41309934120).

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

10556746200 is a wasteful number, since it uses less digits than its factorization.

10556746200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10556746200 in words is "ten billion, five hundred fifty-six million, seven hundred forty-six thousand, two hundred".