1087462440960 has 1008 divisors, whose sum is σ = 4337780682816. Its totient is φ = 231122927616.

The previous prime is 1087462440937. The next prime is 1087462440973. The reversal of 1087462440960 is 690442647801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13101957079 + ... + 13101957161.

It is an arithmetic number, because the mean of its divisors is an integer number (4303353852).

Almost surely, 2^{1087462440960} is an apocalyptic number.

1087462440960 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 1087462440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168890341408).

1087462440960 is an abundant number, since it is smaller than the sum of its proper divisors (3250318241856).

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

1087462440960 is an frugal number, since it uses more digits than its factorization.

1087462440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 1087462440960 in words is "one trillion, eighty-seven billion, four hundred sixty-two million, four hundred forty thousand, nine hundred sixty".