553196905841664 has 880 divisors, whose sum is σ = 1903023210211200. Its totient is φ = 156795978645504.

The previous prime is 553196905841659. The next prime is 553196905841719. The reversal of 553196905841664 is 466148509691355.

553196905841664 is a `hidden beast` number, since 5 + 5 + 3 + 19 + 6 + 90 + 58 + 416 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 553196905841592 and 553196905841601.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166977633672 + ... + 166977636984.

It is an arithmetic number, because the mean of its divisors is an integer number (2162526375240).

Almost surely, 2^{553196905841664} is an apocalyptic number.

553196905841664 is a gapful number since it is divisible by the number (54) 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 553196905841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951511605105600).

553196905841664 is an abundant number, since it is smaller than the sum of its proper divisors (1349826304369536).

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

553196905841664 is a wasteful number, since it uses less digits than its factorization.

553196905841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 553196905841664 in words is "five hundred fifty-three trillion, one hundred ninety-six billion, nine hundred five million, eight hundred forty-one thousand, six hundred sixty-four".