1050163107840 has 2592 divisors, whose sum is σ = 4961599952400. Its totient is φ = 210691031040.

The previous prime is 1050163107827. The next prime is 1050163107923. The reversal of 1050163107840 is 487013610501.

1050163107840 is a `hidden beast` number, since 1 + 0 + 501 + 6 + 3 + 107 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×1050163107840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1050163107795 and 1050163107804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 36212520946 + ... + 36212520974.

Almost surely, 2^{1050163107840} is an apocalyptic number.

1050163107840 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 1050163107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480799976200).

1050163107840 is an abundant number, since it is smaller than the sum of its proper divisors (3911436844560).

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

1050163107840 is an frugal number, since it uses more digits than its factorization.

1050163107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1050163107840 in words is "one trillion, fifty billion, one hundred sixty-three million, one hundred seven thousand, eight hundred forty".