1087163596800 has 450 divisors, whose sum is σ = 4027605578073. Its totient is φ = 289910292480.

The previous prime is 1087163596789. The next prime is 1087163596801. The reversal of 1087163596800 is 86953617801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (2!)²¹.

It can be written as a sum of positive squares in 2 ways, for example, as 1065420324864 + 21743271936 = 1032192^2 + 147456^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=737280.

It is a super-2 number, since 2×1087163596800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1087163596801) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 217432719358 + ... + 217432719362.

Almost surely, 2^{1087163596800} is an apocalyptic number.

1087163596800 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 1087163596800

1087163596800 is an abundant number, since it is smaller than the sum of its proper divisors (2940441981273).

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

1087163596800 is an frugal number, since it uses more digits than its factorization.

1087163596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1087163596800 in words is "one trillion, eighty-seven billion, one hundred sixty-three million, five hundred ninety-six thousand, eight hundred".