1087827628896 has 144 divisors (see below), whose sum is σ = 3107906081280. Its totient is φ = 360925735680.

The previous prime is 1087827628873. The next prime is 1087827628967. The reversal of 1087827628896 is 6988267287801.

1087827628896 is a `hidden beast` number, since 1 + 0 + 8 + 78 + 276 + 288 + 9 + 6 = 666.

1087827628896 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54482211 + ... + 54502173.

It is an arithmetic number, because the mean of its divisors is an integer number (21582681120).

Almost surely, 2^{1087827628896} is an apocalyptic number.

1087827628896 is a gapful number since it is divisible by the number (16) 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 1087827628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553953040640).

1087827628896 is an abundant number, since it is smaller than the sum of its proper divisors (2020078452384).

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

1087827628896 is a wasteful number, since it uses less digits than its factorization.

1087827628896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20849 (or 20838 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 1087827628896 in words is "one trillion, eighty-seven billion, eight hundred twenty-seven million, six hundred twenty-eight thousand, eight hundred ninety-six".