10216452685824 has 1536 divisors, whose sum is σ = 40213366502400. Its totient is φ = 2511093104640.

The previous prime is 10216452685811. The next prime is 10216452685903. The reversal of 10216452685824 is 42858625461201.

10216452685824 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 4 + 52 + 6 + 8 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11649318474 + ... + 11649319350.

It is an arithmetic number, because the mean of its divisors is an integer number (26180577150).

Almost surely, 2^{10216452685824} is an apocalyptic number.

10216452685824 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 10216452685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106683251200).

10216452685824 is an abundant number, since it is smaller than the sum of its proper divisors (29996913816576).

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

10216452685824 is an frugal number, since it uses more digits than its factorization.

10216452685824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 10216452685824 in words is "ten trillion, two hundred sixteen billion, four hundred fifty-two million, six hundred eighty-five thousand, eight hundred twenty-four".