1051635020016 has 160 divisors (see below), whose sum is σ = 3169192000000. Its totient is φ = 300372226560.

The previous prime is 1051635019987. The next prime is 1051635020041. The reversal of 1051635020016 is 6100205361501.

It is a super-2 number, since 2×1051635020016² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64711860 + ... + 64728108.

It is an arithmetic number, because the mean of its divisors is an integer number (19807450000).

Almost surely, 2^{1051635020016} is an apocalyptic number.

1051635020016 is a gapful number since it is divisible by the number (16) 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 1051635020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584596000000).

1051635020016 is an abundant number, since it is smaller than the sum of its proper divisors (2117556979984).

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

1051635020016 is a wasteful number, since it uses less digits than its factorization.

1051635020016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20212 (or 20192 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1051635020016 in words is "one trillion, fifty-one billion, six hundred thirty-five million, twenty thousand, sixteen".