1091857806400 has 189 divisors, whose sum is σ = 2720286523983. Its totient is φ = 431342976000.

The previous prime is 1091857806359. The next prime is 1091857806401. The reversal of 1091857806400 is 46087581901.

The square root of 1091857806400 is 1044920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 120198116416 + 971659689984 = 346696^2 + 985728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1091857806401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6311316714 + ... + 6311316886.

Almost surely, 2^{1091857806400} is an apocalyptic number.

1091857806400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1091857806400 is the 1044920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1091857806400

1091857806400 is an abundant number, since it is smaller than the sum of its proper divisors (1628428717583).

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

1091857806400 is an frugal number, since it uses more digits than its factorization.

1091857806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

Multiplying 1091857806400 by its sum of digits (49), we get a square (53501032513600 = 7314440²).

The spelling of 1091857806400 in words is "one trillion, ninety-one billion, eight hundred fifty-seven million, eight hundred six thousand, four hundred".