1085178416400 has 720 divisors, whose sum is σ = 4222610013440. Its totient is φ = 266051174400.

The previous prime is 1085178416369. The next prime is 1085178416453. The reversal of 1085178416400 is 46148715801.

1085178416400 is a `hidden beast` number, since 1 + 0 + 8 + 517 + 84 + 16 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1085178416400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342434016 + ... + 342437184.

Almost surely, 2^{1085178416400} is an apocalyptic number.

1085178416400 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 1085178416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111305006720).

1085178416400 is an abundant number, since it is smaller than the sum of its proper divisors (3137431597040).

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

1085178416400 is a wasteful number, since it uses less digits than its factorization.

1085178416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1085178416400 in words is "one trillion, eighty-five billion, one hundred seventy-eight million, four hundred sixteen thousand, four hundred".