10009953216 has 224 divisors, whose sum is σ = 30577536000. Its totient is φ = 3208771584.

The previous prime is 10009953193. The next prime is 10009953253. The reversal of 10009953216 is 61235990001.

10009953216 is a `hidden beast` number, since 100 + 0 + 9 + 9 + 532 + 16 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4790700 + ... + 4792788.

Almost surely, 2^10009953216 is an apocalyptic number.

10009953216 is a gapful number since it is divisible by the number (16) 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 10009953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288768000).

10009953216 is an abundant number, since it is smaller than the sum of its proper divisors (20567582784).

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

10009953216 is a wasteful number, since it uses less digits than its factorization.

10009953216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 10009953216 in words is "ten billion, nine million, nine hundred fifty-three thousand, two hundred sixteen".