553615612440 has 384 divisors, whose sum is σ = 1881832236480. Its totient is φ = 130099875840.

The previous prime is 553615612439. The next prime is 553615612441. The reversal of 553615612440 is 44216516355.

It is an interprime number because it is at equal distance from previous prime (553615612439) and next prime (553615612441).

It is a super-3 number, since 3×553615612440³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 553615612392 and 553615612401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553615612441) 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 95 ways as a sum of consecutive naturals, for example, 157409562 + ... + 157413078.

Almost surely, 2^553615612440 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 553615612440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940916118240).

553615612440 is an abundant number, since it is smaller than the sum of its proper divisors (1328216624040).

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

553615612440 is a wasteful number, since it uses less digits than its factorization.

553615612440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 553615612440 in words is "five hundred fifty-three billion, six hundred fifteen million, six hundred twelve thousand, four hundred forty".