1055786400 has 216 divisors, whose sum is σ = 3861565344. Its totient is φ = 281491200.

The previous prime is 1055786399. The next prime is 1055786419. The reversal of 1055786400 is 46875501.

1055786400 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 7 + 8 + 640 + 0 = 666.

1055786400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1055786400² = 2229369844849920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191685 + ... + 197115.

Almost surely, 2^1055786400 is an apocalyptic number.

1055786400 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 1055786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930782672).

1055786400 is an abundant number, since it is smaller than the sum of its proper divisors (2805778944).

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

1055786400 is an equidigital number, since it uses as much as digits as its factorization.

1055786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1055786400 is about 32492.8669095234. The cubic root of 1055786400 is about 1018.2600092626.

The spelling of 1055786400 in words is "one billion, fifty-five million, seven hundred eighty-six thousand, four hundred".