1049098177920 has 512 divisors, whose sum is σ = 3665870208000. Its totient is φ = 253628153856.

The previous prime is 1049098177903. The next prime is 1049098177937. The reversal of 1049098177920 is 297718909401.

It is an interprime number because it is at equal distance from previous prime (1049098177903) and next prime (1049098177937).

It is a super-2 number, since 2×1049098177920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 734147766 + ... + 734149194.

It is an arithmetic number, because the mean of its divisors is an integer number (7159902750).

Almost surely, 2^{1049098177920} is an apocalyptic number.

1049098177920 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 1049098177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832935104000).

1049098177920 is an abundant number, since it is smaller than the sum of its proper divisors (2616772030080).

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

1049098177920 is a wasteful number, since it uses less digits than its factorization.

1049098177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 57.

The spelling of 1049098177920 in words is "one trillion, forty-nine billion, ninety-eight million, one hundred seventy-seven thousand, nine hundred twenty".