1755056160 has 480 divisors, whose sum is σ = 7284416832. Its totient is φ = 392325120.

The previous prime is 1755056153. The next prime is 1755056167. The reversal of 1755056160 is 616505571.

It is an interprime number because it is at equal distance from previous prime (1755056153) and next prime (1755056167).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1755056167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1852807 + ... + 1853753.

Almost surely, 2^1755056160 is an apocalyptic number.

1755056160 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 1755056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642208416).

1755056160 is an abundant number, since it is smaller than the sum of its proper divisors (5529360672).

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

1755056160 is a wasteful number, since it uses less digits than its factorization.

1755056160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 1755056160 is about 41893.3904094667. The cubic root of 1755056160 is about 1206.2305937619.

The spelling of 1755056160 in words is "one billion, seven hundred fifty-five million, fifty-six thousand, one hundred sixty".