10756212166800 has 420 divisors, whose sum is σ = 38761524080244. Its totient is φ = 2867098291200.

The previous prime is 10756212166783. The next prime is 10756212166841. The reversal of 10756212166800 is 866121265701.

10756212166800 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 621 + 2 + 16 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 39833773056 + 10716378393744 = 199584^2 + 3273588^2 .

It is a super-3 number, since 3×10756212166800³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 834261154 + ... + 834274046.

Almost surely, 2^{10756212166800} is an apocalyptic number.

10756212166800 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 10756212166800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19380762040122).

10756212166800 is an abundant number, since it is smaller than the sum of its proper divisors (28005311913444).

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

10756212166800 is a wasteful number, since it uses less digits than its factorization.

10756212166800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15790 (or 15764 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10756212166800 in words is "ten trillion, seven hundred fifty-six billion, two hundred twelve million, one hundred sixty-six thousand, eight hundred".