10216423957824 has 448 divisors, whose sum is σ = 36289569280000. Its totient is φ = 2753257900032.

The previous prime is 10216423957811. The next prime is 10216423957853. The reversal of 10216423957824 is 42875932461201.

It is a happy number.

10216423957824 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 42 + 3 + 9 + 578 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52532637 + ... + 52726755.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10216423957824 = 20432847915648, but 3⋅10216423957824 = 30649271873472 is not.

Almost surely, 2^{10216423957824} is an apocalyptic number.

10216423957824 is a gapful number since it is divisible by the number (14) 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 10216423957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144784640000).

10216423957824 is an abundant number, since it is smaller than the sum of its proper divisors (26073145322176).

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

10216423957824 is a wasteful number, since it uses less digits than its factorization.

10216423957824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194395 (or 194379 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10216423957824 in words is "ten trillion, two hundred sixteen billion, four hundred twenty-three million, nine hundred fifty-seven thousand, eight hundred twenty-four".