553494816000 has 1728 divisors, whose sum is σ = 2454538544640. Its totient is φ = 120313036800.

The previous prime is 553494815989. The next prime is 553494816011. The reversal of 553494816000 is 618494355.

553494816000 is a `hidden beast` number, since 5 + 5 + 34 + 9 + 4 + 8 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (553494815989) and next prime (553494816011).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×553494816000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3199391914 + ... + 3199392086.

Almost surely, 2^553494816000 is an apocalyptic number.

553494816000 is a gapful number since it is divisible by the number (50) 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 553494816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227269272320).

553494816000 is an abundant number, since it is smaller than the sum of its proper divisors (1901043728640).

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

553494816000 is a wasteful number, since it uses less digits than its factorization.

553494816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 553494816000 in words is "five hundred fifty-three billion, four hundred ninety-four million, eight hundred sixteen thousand".