10225325664 has 36 divisors (see below), whose sum is σ = 29078270676. Its totient is φ = 3408441792.

The previous prime is 10225325657. The next prime is 10225325681. The reversal of 10225325664 is 46652352201.

10225325664 is a `hidden beast` number, since 10 + 2 + 2 + 532 + 56 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17752014 + ... + 17752589.

It is an arithmetic number, because the mean of its divisors is an integer number (807729741).

Almost surely, 2^10225325664 is an apocalyptic number.

It is an amenable number.

10225325664 is an abundant number, since it is smaller than the sum of its proper divisors (18852945012).

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

10225325664 is a wasteful number, since it uses less digits than its factorization.

10225325664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35504619 (or 35504608 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10225325664 its reverse (46652352201), we get a palindrome (56877677865).

It can be divided in two parts, 1022532 and 5664, that added together give a square (1028196 = 1014²).

The spelling of 10225325664 in words is "ten billion, two hundred twenty-five million, three hundred twenty-five thousand, six hundred sixty-four".