1102789987200 has 1152 divisors, whose sum is σ = 4479107068800. Its totient is φ = 265702809600.

The previous prime is 1102789987177. The next prime is 1102789987223. The reversal of 1102789987200 is 27899872011.

1102789987200 is a `hidden beast` number, since 1 + 1 + 0 + 278 + 99 + 87 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1102789987177) and next prime (1102789987223).

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

It is a super-2 number, since 2×1102789987200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1958774119 + ... + 1958774681.

It is an arithmetic number, because the mean of its divisors is an integer number (3888113775).

Almost surely, 2^{1102789987200} is an apocalyptic number.

1102789987200 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 1102789987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239553534400).

1102789987200 is an abundant number, since it is smaller than the sum of its proper divisors (3376317081600).

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

1102789987200 is a wasteful number, since it uses less digits than its factorization.

1102789987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

It can be divided in two parts, 1 and 102789987200, that added together give a palindrome (102789987201).

The spelling of 1102789987200 in words is "one trillion, one hundred two billion, seven hundred eighty-nine million, nine hundred eighty-seven thousand, two hundred".