10233402624 has 108 divisors (see below), whose sum is σ = 30598402016. Its totient is φ = 3411113472.

The previous prime is 10233402617. The next prime is 10233402631. The reversal of 10233402624 is 42620433201.

10233402624 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 34 + 0 + 2 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (10233402617) and next prime (10233402631).

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20044 + ... + 144459.

Almost surely, 2^10233402624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299201008).

10233402624 is an abundant number, since it is smaller than the sum of its proper divisors (20364999392).

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

10233402624 is an frugal number, since it uses more digits than its factorization.

10233402624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164534 (or 164508 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10233402624 its reverse (42620433201), we get a palindrome (52853835825).

The spelling of 10233402624 in words is "ten billion, two hundred thirty-three million, four hundred two thousand, six hundred twenty-four".