553908219480 has 1920 divisors, whose sum is σ = 2562850160640. Its totient is φ = 104559206400.

The previous prime is 553908219479. The next prime is 553908219481. The reversal of 553908219480 is 84912809355.

553908219480 is a `hidden beast` number, since 5 + 53 + 90 + 8 + 21 + 9 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (553908219479) and next prime (553908219481).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553908219481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1446235369 + ... + 1446235751.

It is an arithmetic number, because the mean of its divisors is an integer number (1334817792).

Almost surely, 2^553908219480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553908219480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281425080320).

553908219480 is an abundant number, since it is smaller than the sum of its proper divisors (2008941941160).

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

553908219480 is a wasteful number, since it uses less digits than its factorization.

553908219480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 553908219480 in words is "five hundred fifty-three billion, nine hundred eight million, two hundred nineteen thousand, four hundred eighty".