1016010138624 has 528 divisors, whose sum is σ = 3165592942848. Its totient is φ = 287815237632.

The previous prime is 1016010138613. The next prime is 1016010138667. The reversal of 1016010138624 is 4268310106101.

It is a super-2 number, since 2×1016010138624² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542449752 + ... + 542451624.

Almost surely, 2^{1016010138624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016010138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582796471424).

1016010138624 is an abundant number, since it is smaller than the sum of its proper divisors (2149582804224).

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

1016010138624 is a wasteful number, since it uses less digits than its factorization.

1016010138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 1016010138624 in words is "one trillion, sixteen billion, ten million, one hundred thirty-eight thousand, six hundred twenty-four".