1087638843840 has 224 divisors, whose sum is σ = 3658932829440. Its totient is φ = 272785883136.

The previous prime is 1087638843833. The next prime is 1087638843847. The reversal of 1087638843840 is 483488367801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1087638843833) and next prime (1087638843847).

It is a super-2 number, since 2×1087638843840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087638843847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24180091 + ... + 24225029.

It is an arithmetic number, because the mean of its divisors is an integer number (16334521560).

Almost surely, 2^{1087638843840} is an apocalyptic number.

1087638843840 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 1087638843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829466414720).

1087638843840 is an abundant number, since it is smaller than the sum of its proper divisors (2571293985600).

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

1087638843840 is a wasteful number, since it uses less digits than its factorization.

1087638843840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46459 (or 46449 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 1087638843840 in words is "one trillion, eighty-seven billion, six hundred thirty-eight million, eight hundred forty-three thousand, eight hundred forty".