553412961920 has 768 divisors, whose sum is σ = 1718683051680. Its totient is φ = 168784035840.

The previous prime is 553412961919. The next prime is 553412961973. The reversal of 553412961920 is 29169214355.

It can be written as a sum of positive squares in 16 ways, for example, as 23184325696 + 530228636224 = 152264^2 + 728168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1888781294 + ... + 1888781586.

Almost surely, 2^553412961920 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 553412961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859341525840).

553412961920 is an abundant number, since it is smaller than the sum of its proper divisors (1165270089760).

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

553412961920 is a wasteful number, since it uses less digits than its factorization.

553412961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 47.

The spelling of 553412961920 in words is "five hundred fifty-three billion, four hundred twelve million, nine hundred sixty-one thousand, nine hundred twenty".