1087613844480 has 352 divisors, whose sum is σ = 4068623750400. Its totient is φ = 274764939264.

The previous prime is 1087613844479. The next prime is 1087613844487. The reversal of 1087613844480 is 844483167801.

1087613844480 is a `hidden beast` number, since 1 + 0 + 8 + 76 + 13 + 84 + 4 + 480 = 666.

1087613844480 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087613844487) 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, 2419519 + ... + 2833601.

It is an arithmetic number, because the mean of its divisors is an integer number (11558590200).

Almost surely, 2^{1087613844480} is an apocalyptic number.

1087613844480 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 1087613844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034311875200).

1087613844480 is an abundant number, since it is smaller than the sum of its proper divisors (2981009905920).

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

1087613844480 is a wasteful number, since it uses less digits than its factorization.

1087613844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414136 (or 414112 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1087613844480 in words is "one trillion, eighty-seven billion, six hundred thirteen million, eight hundred forty-four thousand, four hundred eighty".