1087800709632 has 1280 divisors, whose sum is σ = 3950360494080. Its totient is φ = 257989017600.

The previous prime is 1087800709627. The next prime is 1087800709643. The reversal of 1087800709632 is 2369070087801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6009948582 + ... + 6009948762.

It is an arithmetic number, because the mean of its divisors is an integer number (3086219136).

Almost surely, 2^{1087800709632} is an apocalyptic number.

1087800709632 is a gapful number since it is divisible by the number (12) 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 1087800709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975180247040).

1087800709632 is an abundant number, since it is smaller than the sum of its proper divisors (2862559784448).

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

1087800709632 is a wasteful number, since it uses less digits than its factorization.

1087800709632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 1087800709632 in words is "one trillion, eighty-seven billion, eight hundred million, seven hundred nine thousand, six hundred thirty-two".