10616223355200 has 672 divisors, whose sum is σ = 39213502675200. Its totient is φ = 2793607004160.

The previous prime is 10616223355183. The next prime is 10616223355223. The reversal of 10616223355200 is 255332261601.

10616223355200 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 622 + 3 + 3 + 5 + 5 + 20 + 0 = 666.

It is a super-2 number, since 2×10616223355200² (a number of 27 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 95 ways as a sum of consecutive naturals, for example, 1504350072 + ... + 1504357128.

It is an arithmetic number, because the mean of its divisors is an integer number (58353426600).

Almost surely, 2^{10616223355200} is an apocalyptic number.

10616223355200 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 10616223355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606751337600).

10616223355200 is an abundant number, since it is smaller than the sum of its proper divisors (28597279320000).

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

10616223355200 is a wasteful number, since it uses less digits than its factorization.

10616223355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7544 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10616223355200 in words is "ten trillion, six hundred sixteen billion, two hundred twenty-three million, three hundred fifty-five thousand, two hundred".