10002353376 has 96 divisors (see below), whose sum is σ = 28020142080. Its totient is φ = 3113220096.

The previous prime is 10002353357. The next prime is 10002353411. The reversal of 10002353376 is 67335320001.

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, 183135 + ... + 231393.

It is an arithmetic number, because the mean of its divisors is an integer number (291876480).

Almost surely, 2^10002353376 is an apocalyptic number.

10002353376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002353376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14010071040).

10002353376 is an abundant number, since it is smaller than the sum of its proper divisors (18017788704).

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

10002353376 is a wasteful number, since it uses less digits than its factorization.

10002353376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48416 (or 48408 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

Adding to 10002353376 its reverse (67335320001), we get a palindrome (77337673377).

It can be divided in two parts, 10002 and 353376, that added together give a triangular number (363378 = T₈₅₂).

The spelling of 10002353376 in words is "ten billion, two million, three hundred fifty-three thousand, three hundred seventy-six".