10210255416 has 144 divisors (see below), whose sum is σ = 30267783000. Its totient is φ = 3224069568.

The previous prime is 10210255409. The next prime is 10210255421. The reversal of 10210255416 is 61455201201.

10210255416 is a `hidden beast` number, since 1 + 0 + 2 + 102 + 554 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10210255416.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 694510 + ... + 709058.

Almost surely, 2^10210255416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210255416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15133891500).

10210255416 is an abundant number, since it is smaller than the sum of its proper divisors (20057527584).

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

10210255416 is a wasteful number, since it uses less digits than its factorization.

10210255416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14608 (or 14573 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10210255416 its reverse (61455201201), we get a palindrome (71665456617).

The spelling of 10210255416 in words is "ten billion, two hundred ten million, two hundred fifty-five thousand, four hundred sixteen".