10223955853200 has 840 divisors, whose sum is σ = 37702105267968. Its totient is φ = 2661945016320.

The previous prime is 10223955853193. The next prime is 10223955853271. The reversal of 10223955853200 is 235855932201.

10223955853200 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 39 + 5 + 585 + 32 + 0 + 0 = 666.

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 167 ways as a sum of consecutive naturals, for example, 8867263824 + ... + 8867264976.

Almost surely, 2^{10223955853200} is an apocalyptic number.

10223955853200 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 10223955853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851052633984).

10223955853200 is an abundant number, since it is smaller than the sum of its proper divisors (27478149414768).

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

10223955853200 is a wasteful number, since it uses less digits than its factorization.

10223955853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 10223955853200 in words is "ten trillion, two hundred twenty-three billion, nine hundred fifty-five million, eight hundred fifty-three thousand, two hundred".