1098779700480 has 1152 divisors, whose sum is σ = 4499808768000. Its totient is φ = 226514534400.

The previous prime is 1098779700463. The next prime is 1098779700497. The reversal of 1098779700480 is 840079778901.

It is an interprime number because it is at equal distance from previous prime (1098779700463) and next prime (1098779700497).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 2622385711 + ... + 2622386129.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084000).

Almost surely, 2^{1098779700480} is an apocalyptic number.

1098779700480 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 1098779700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249904384000).

1098779700480 is an abundant number, since it is smaller than the sum of its proper divisors (3401029067520).

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

1098779700480 is a wasteful number, since it uses less digits than its factorization.

1098779700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 60.

The spelling of 1098779700480 in words is "one trillion, ninety-eight billion, seven hundred seventy-nine million, seven hundred thousand, four hundred eighty".