1053991680 has 288 divisors, whose sum is σ = 3892299264. Its totient is φ = 238092288.

The previous prime is 1053991643. The next prime is 1053991691. The reversal of 1053991680 is 861993501.

It is a super-2 number, since 2×1053991680² = 2221796923018444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3037267 + ... + 3037613.

It is an arithmetic number, because the mean of its divisors is an integer number (13514928).

Almost surely, 2^1053991680 is an apocalyptic number.

1053991680 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 1053991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946149632).

1053991680 is an abundant number, since it is smaller than the sum of its proper divisors (2838307584).

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

1053991680 is a wasteful number, since it uses less digits than its factorization.

1053991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 1053991680 is about 32465.2380246934. The cubic root of 1053991680 is about 1017.6827055915.

The spelling of 1053991680 in words is "one billion, fifty-three million, nine hundred ninety-one thousand, six hundred eighty".