10152123350544 has 120 divisors (see below), whose sum is σ = 32489336448192. Its totient is φ = 2898940112640.

The previous prime is 10152123350531. The next prime is 10152123350573. The reversal of 10152123350544 is 44505332125101.

10152123350544 is a `hidden beast` number, since 1 + 0 + 1 + 52 + 12 + 3 + 3 + 50 + 544 = 666.

It is a super-3 number, since 3×10152123350544³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10152123350499 and 10152123350508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137534 + ... + 4647389.

Almost surely, 2^{10152123350544} is an apocalyptic number.

10152123350544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10152123350544 is an abundant number, since it is smaller than the sum of its proper divisors (22337213097648).

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

10152123350544 is a wasteful number, since it uses less digits than its factorization.

10152123350544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786685 (or 5786676 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 10152123350544 its reverse (44505332125101), we get a palindrome (54657455475645).

The spelling of 10152123350544 in words is "ten trillion, one hundred fifty-two billion, one hundred twenty-three million, three hundred fifty thousand, five hundred forty-four".