1085556326400 has 1224 divisors, whose sum is σ = 4791976731360. Its totient is φ = 228757340160.

The previous prime is 1085556326399. The next prime is 1085556326423. The reversal of 1085556326400 is 46236555801.

1085556326400 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 5 + 5 + 632 + 6 + 4 + 0 + 0 = 666.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1341849196 + ... + 1341850004.

Almost surely, 2^{1085556326400} is an apocalyptic number.

1085556326400 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 1085556326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395988365680).

1085556326400 is an abundant number, since it is smaller than the sum of its proper divisors (3706420404960).

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

1085556326400 is an equidigital number, since it uses as much as digits as its factorization.

1085556326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1085556326400 in words is "one trillion, eighty-five billion, five hundred fifty-six million, three hundred twenty-six thousand, four hundred".