1087617854400 has 1344 divisors, whose sum is σ = 4693619589120. Its totient is φ = 213781708800.

The previous prime is 1087617854369. The next prime is 1087617854441. The reversal of 1087617854400 is 44587167801.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 824576941 + ... + 824578259.

It is an arithmetic number, because the mean of its divisors is an integer number (3492276480).

Almost surely, 2^{1087617854400} is an apocalyptic number.

1087617854400 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 1087617854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346809794560).

1087617854400 is an abundant number, since it is smaller than the sum of its proper divisors (3606001734720).

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

1087617854400 is a wasteful number, since it uses less digits than its factorization.

1087617854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 1087617854400 in words is "one trillion, eighty-seven billion, six hundred seventeen million, eight hundred fifty-four thousand, four hundred".