1098752123280 has 1920 divisors, whose sum is σ = 4680986112000. Its totient is φ = 211666452480.

The previous prime is 1098752123257. The next prime is 1098752123377. The reversal of 1098752123280 is 823212578901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25552374939 + ... + 25552374981.

It is an arithmetic number, because the mean of its divisors is an integer number (2438013600).

Almost surely, 2^{1098752123280} is an apocalyptic number.

1098752123280 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 1098752123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340493056000).

1098752123280 is an abundant number, since it is smaller than the sum of its proper divisors (3582233988720).

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

1098752123280 is a wasteful number, since it uses less digits than its factorization.

1098752123280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 1098752123280 in words is "one trillion, ninety-eight billion, seven hundred fifty-two million, one hundred twenty-three thousand, two hundred eighty".