10563216998400 has 1824 divisors, whose sum is σ = 43500553762560. Its totient is φ = 2522559283200.

The previous prime is 10563216998393. The next prime is 10563216998441. The reversal of 10563216998400 is 489961236501.

10563216998400 is a `hidden beast` number, since 10 + 5 + 6 + 3 + 216 + 9 + 9 + 8 + 400 = 666.

It is a super-3 number, since 3×10563216998400³ (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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157659955167 + ... + 157659955233.

Almost surely, 2^{10563216998400} is an apocalyptic number.

10563216998400 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 10563216998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21750276881280).

10563216998400 is an abundant number, since it is smaller than the sum of its proper divisors (32937336764160).

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

10563216998400 is an frugal number, since it uses more digits than its factorization.

10563216998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10563216998400 in words is "ten trillion, five hundred sixty-three billion, two hundred sixteen million, nine hundred ninety-eight thousand, four hundred".