10235607639936 has 128 divisors (see below), whose sum is σ = 32143841971200. Its totient is φ = 2823615879168.

The previous prime is 10235607639899. The next prime is 10235607640007. The reversal of 10235607639936 is 63993670653201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10235607639936.

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, 65575320 + ... + 65731223.

It is an arithmetic number, because the mean of its divisors is an integer number (251123765400).

Almost surely, 2^{10235607639936} is an apocalyptic number.

10235607639936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10235607639936 is an abundant number, since it is smaller than the sum of its proper divisors (21908234331264).

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

10235607639936 is a wasteful number, since it uses less digits than its factorization.

10235607639936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131306596 (or 131306584 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 60.

The spelling of 10235607639936 in words is "ten trillion, two hundred thirty-five billion, six hundred seven million, six hundred thirty-nine thousand, nine hundred thirty-six".