10216585753920 has 3360 divisors, whose sum is σ = 49620460982400. Its totient is φ = 1969961140224.

The previous prime is 10216585753793. The next prime is 10216585753921. The reversal of 10216585753920 is 2935758561201.

10216585753920 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 6 + 5 + 85 + 7 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216585753921) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9097582479 + ... + 9097583601.

It is an arithmetic number, because the mean of its divisors is an integer number (14767994340).

Almost surely, 2^{10216585753920} is an apocalyptic number.

10216585753920 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 10216585753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24810230491200).

10216585753920 is an abundant number, since it is smaller than the sum of its proper divisors (39403875228480).

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

10216585753920 is a wasteful number, since it uses less digits than its factorization.

10216585753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 10216585753920 in words is "ten trillion, two hundred sixteen billion, five hundred eighty-five million, seven hundred fifty-three thousand, nine hundred twenty".