1049633095680 has 1008 divisors, whose sum is σ = 4091538429720. Its totient is φ = 258371223552.

The previous prime is 1049633095619. The next prime is 1049633095741. The reversal of 1049633095680 is 865903369401.

1049633095680 is a `hidden beast` number, since 1 + 0 + 49 + 6 + 3 + 30 + 9 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1049633095619) and next prime (1049633095741).

It can be written as a sum of positive squares in 4 ways, for example, as 17247043584 + 1032386052096 = 131328^2 + 1016064^2 .

It is a super-2 number, since 2×1049633095680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80741007354 + ... + 80741007366.

Almost surely, 2^{1049633095680} is an apocalyptic number.

1049633095680 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 1049633095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045769214860).

1049633095680 is an abundant number, since it is smaller than the sum of its proper divisors (3041905334040).

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

1049633095680 is an frugal number, since it uses more digits than its factorization.

1049633095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1049633095680 in words is "one trillion, forty-nine billion, six hundred thirty-three million, ninety-five thousand, six hundred eighty".