10384628416700 has 108 divisors (see below), whose sum is σ = 23940905204832. Its totient is φ = 3909063014400.

The previous prime is 10384628416699. The next prime is 10384628416703. The reversal of 10384628416700 is 761482648301.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384628416703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371090909 + ... + 371118891.

Almost surely, 2^{10384628416700} is an apocalyptic number.

10384628416700 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 10384628416700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11970452602416).

10384628416700 is an abundant number, since it is smaller than the sum of its proper divisors (13556276788132).

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

10384628416700 is a wasteful number, since it uses less digits than its factorization.

10384628416700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40872 (or 40848 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 10384628416700 in words is "ten trillion, three hundred eighty-four billion, six hundred twenty-eight million, four hundred sixteen thousand, seven hundred".