1553104080 has 240 divisors, whose sum is σ = 5990063040. Its totient is φ = 356659200.

The previous prime is 1553104073. The next prime is 1553104081. The reversal of 1553104080 is 804013551.

1553104080 is a `hidden beast` number, since 1 + 553 + 104 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553104081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145320 + ... + 155640.

It is an arithmetic number, because the mean of its divisors is an integer number (24958596).

Almost surely, 2^1553104080 is an apocalyptic number.

1553104080 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 1553104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995031520).

1553104080 is an abundant number, since it is smaller than the sum of its proper divisors (4436958960).

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

1553104080 is a wasteful number, since it uses less digits than its factorization.

1553104080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1553104080 is about 39409.4415083492. The cubic root of 1553104080 is about 1158.0665572455.

The spelling of 1553104080 in words is "one billion, five hundred fifty-three million, one hundred four thousand, eighty".