1016107530400 has 144 divisors (see below), whose sum is σ = 2629648566720. Its totient is φ = 382074368000.

The previous prime is 1016107530353. The next prime is 1016107530413. The reversal of 1016107530400 is 40357016101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11365875 + ... + 11454925.

It is an arithmetic number, because the mean of its divisors is an integer number (18261448380).

Almost surely, 2^{1016107530400} is an apocalyptic number.

1016107530400 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 1016107530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314824283360).

1016107530400 is an abundant number, since it is smaller than the sum of its proper divisors (1613541036320).

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

1016107530400 is a wasteful number, since it uses less digits than its factorization.

1016107530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89927 (or 89914 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 1016107530400 in words is "one trillion, sixteen billion, one hundred seven million, five hundred thirty thousand, four hundred".