1553258560 has 112 divisors (see below), whose sum is σ = 4373026560. Its totient is φ = 514160640.

The previous prime is 1553258537. The next prime is 1553258573. The reversal of 1553258560 is 658523551.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1553258560² = 4825224308426547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53005 + ... + 76915.

It is an arithmetic number, because the mean of its divisors is an integer number (39044880).

Almost surely, 2^1553258560 is an apocalyptic number.

1553258560 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 1553258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186513280).

1553258560 is an abundant number, since it is smaller than the sum of its proper divisors (2819768000).

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

1553258560 is a wasteful number, since it uses less digits than its factorization.

1553258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23964 (or 23954 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The square root of 1553258560 is about 39411.4013960427. The cubic root of 1553258560 is about 1158.1049517942.

The spelling of 1553258560 in words is "one billion, five hundred fifty-three million, two hundred fifty-eight thousand, five hundred sixty".