10216127625 has 128 divisors (see below), whose sum is σ = 19156580352. Its totient is φ = 4792736000.

The previous prime is 10216127539. The next prime is 10216127641. The reversal of 10216127625 is 52672161201.

10216127625 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10216127625 - 2⁷ = 10216127497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18145594 + ... + 18146156.

It is an arithmetic number, because the mean of its divisors is an integer number (149660784).

Almost surely, 2^10216127625 is an apocalyptic number.

10216127625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10216127625 is a deficient number, since it is larger than the sum of its proper divisors (8940452727).

10216127625 is a wasteful number, since it uses less digits than its factorization.

10216127625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

Adding to 10216127625 its reverse (52672161201), we get a palindrome (62888288826).

The spelling of 10216127625 in words is "ten billion, two hundred sixteen million, one hundred twenty-seven thousand, six hundred twenty-five".