1098616780800 has 1152 divisors, whose sum is σ = 5031652953600. Its totient is φ = 228261888000.

The previous prime is 1098616780759. The next prime is 1098616780817. The reversal of 1098616780800 is 80876168901.

1098616780800 is a `hidden beast` number, since 10 + 9 + 8 + 616 + 7 + 8 + 0 + 8 + 0 + 0 = 666.

1098616780800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106439640 + ... + 106449960.

It is an arithmetic number, because the mean of its divisors is an integer number (4367754300).

Almost surely, 2^{1098616780800} is an apocalyptic number.

1098616780800 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 1098616780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515826476800).

1098616780800 is an abundant number, since it is smaller than the sum of its proper divisors (3933036172800).

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

1098616780800 is a wasteful number, since it uses less digits than its factorization.

1098616780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10349 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1098616780800 in words is "one trillion, ninety-eight billion, six hundred sixteen million, seven hundred eighty thousand, eight hundred".