1087185480800 has 288 divisors, whose sum is σ = 2779969883040. Its totient is φ = 414871142400.

The previous prime is 1087185480779. The next prime is 1087185480803. The reversal of 1087185480800 is 80845817801.

1087185480800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087185480803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230187239 + ... + 230191961.

It is an arithmetic number, because the mean of its divisors is an integer number (9652673205).

Almost surely, 2^{1087185480800} is an apocalyptic number.

1087185480800 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 1087185480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389984941520).

1087185480800 is an abundant number, since it is smaller than the sum of its proper divisors (1692784402240).

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

1087185480800 is a wasteful number, since it uses less digits than its factorization.

1087185480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 50.

The spelling of 1087185480800 in words is "one trillion, eighty-seven billion, one hundred eighty-five million, four hundred eighty thousand, eight hundred".