10285146390624 has 96 divisors (see below), whose sum is σ = 30903130492416. Its totient is φ = 2934071224320.

The previous prime is 10285146390601. The next prime is 10285146390641. The reversal of 10285146390624 is 42609364158201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11393097 + ... + 12262664.

It is an arithmetic number, because the mean of its divisors is an integer number (321907609296).

Almost surely, 2^{10285146390624} is an apocalyptic number.

10285146390624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10285146390624 is an abundant number, since it is smaller than the sum of its proper divisors (20617984101792).

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

10285146390624 is a wasteful number, since it uses less digits than its factorization.

10285146390624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23656428 (or 23656420 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 10285146390624 in words is "ten trillion, two hundred eighty-five billion, one hundred forty-six million, three hundred ninety thousand, six hundred twenty-four".