10355212800 has 720 divisors, whose sum is σ = 40597714080. Its totient is φ = 2584535040.

The previous prime is 10355212799. The next prime is 10355212831. The reversal of 10355212800 is 821255301.

It is a happy number.

10355212800 is a `hidden beast` number, since 10 + 355 + 21 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×10355212800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124761559 + ... + 124761641.

It is an arithmetic number, because the mean of its divisors is an integer number (56385714).

Almost surely, 2^10355212800 is an apocalyptic number.

10355212800 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 10355212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20298857040).

10355212800 is an abundant number, since it is smaller than the sum of its proper divisors (30242501280).

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

10355212800 is an equidigital number, since it uses as much as digits as its factorization.

10355212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 10355212800 in words is "ten billion, three hundred fifty-five million, two hundred twelve thousand, eight hundred".