10331416005600 has 144 divisors (see below), whose sum is σ = 33661964215152. Its totient is φ = 2752323932160.

The previous prime is 10331416005583. The next prime is 10331416005649. The reversal of 10331416005600 is 650061413301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306444 + ... + 4555956.

It is an arithmetic number, because the mean of its divisors is an integer number (233763640383).

Almost surely, 2^{10331416005600} is an apocalyptic number.

10331416005600 is a gapful number since it is divisible by the number (10) 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 10331416005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16830982107576).

10331416005600 is an abundant number, since it is smaller than the sum of its proper divisors (23330548209552).

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

10331416005600 is a wasteful number, since it uses less digits than its factorization.

10331416005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250549 (or 4250536 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 10331416005600 its reverse (650061413301), we get a palindrome (10981477418901).

The spelling of 10331416005600 in words is "ten trillion, three hundred thirty-one billion, four hundred sixteen million, five thousand, six hundred".