10303506553704 has 512 divisors, whose sum is σ = 33854768640000. Its totient is φ = 2537389670400.

The previous prime is 10303506553693. The next prime is 10303506553741. The reversal of 10303506553704 is 40735560530301.

It is a super-2 number, since 2×10303506553704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 809954064 + ... + 809966784.

It is an arithmetic number, because the mean of its divisors is an integer number (66122595000).

Almost surely, 2^{10303506553704} is an apocalyptic number.

10303506553704 is a gapful number since it is divisible by the number (14) 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 10303506553704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927384320000).

10303506553704 is an abundant number, since it is smaller than the sum of its proper divisors (23551262086296).

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

10303506553704 is a wasteful number, since it uses less digits than its factorization.

10303506553704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13049 (or 13045 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 42.

The spelling of 10303506553704 in words is "ten trillion, three hundred three billion, five hundred six million, five hundred fifty-three thousand, seven hundred four".