1081259200 has 168 divisors, whose sum is σ = 3146450400. Its totient is φ = 357826560.

The previous prime is 1081259149. The next prime is 1081259227. The reversal of 1081259200 is 29521801.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323136 + ... + 326464.

Almost surely, 2^1081259200 is an apocalyptic number.

1081259200 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 1081259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573225200).

1081259200 is an abundant number, since it is smaller than the sum of its proper divisors (2065191200).

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

1081259200 is a wasteful number, since it uses less digits than its factorization.

1081259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 1081259200 is about 32882.5059872267. The cubic root of 1081259200 is about 1026.3841541966.

It can be divided in two parts, 1081 and 259200, that added together give a triangular number (260281 = T₇₂₁).

The spelling of 1081259200 in words is "one billion, eighty-one million, two hundred fifty-nine thousand, two hundred".