1016828355100 has 72 divisors (see below), whose sum is σ = 2255545167120. Its totient is φ = 397765447680.

The previous prime is 1016828355047. The next prime is 1016828355119. The reversal of 1016828355100 is 15538286101.

It is a happy number.

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, 692214 + ... + 1585186.

It is an arithmetic number, because the mean of its divisors is an integer number (31327016210).

Almost surely, 2^{1016828355100} is an apocalyptic number.

1016828355100 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 1016828355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127772583560).

1016828355100 is an abundant number, since it is smaller than the sum of its proper divisors (1238716812020).

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

1016828355100 is a wasteful number, since it uses less digits than its factorization.

1016828355100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893239 (or 893232 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 1016828355100 in words is "one trillion, sixteen billion, eight hundred twenty-eight million, three hundred fifty-five thousand, one hundred".