10216405152 has 96 divisors (see below), whose sum is σ = 29908488960. Its totient is φ = 3392824320.

The previous prime is 10216405139. The next prime is 10216405159. The reversal of 10216405152 is 25150461201.

10216405152 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 640 + 5 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (10216405159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212328 + ... + 255960.

It is an arithmetic number, because the mean of its divisors is an integer number (311546760).

Almost surely, 2^10216405152 is an apocalyptic number.

10216405152 is a gapful number since it is divisible by the number (12) 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 10216405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954244480).

10216405152 is an abundant number, since it is smaller than the sum of its proper divisors (19692083808).

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

10216405152 is a wasteful number, since it uses less digits than its factorization.

10216405152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43923 (or 43909 counting only the distinct ones).

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

Adding to 10216405152 its reverse (25150461201), we get a palindrome (35366866353).

The spelling of 10216405152 in words is "ten billion, two hundred sixteen million, four hundred five thousand, one hundred fifty-two".