553116708864 has 624 divisors, whose sum is σ = 1777680017568. Its totient is φ = 171228266496.

The previous prime is 553116708863. The next prime is 553116708883. The reversal of 553116708864 is 468807611355.

It is a happy number.

553116708864 is a `hidden beast` number, since 553 + 1 + 1 + 6 + 7 + 0 + 8 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 553116708864.

It is not an unprimeable number, because it can be changed into a prime (553116708863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641295704 + ... + 1641296040.

It is an arithmetic number, because the mean of its divisors is an integer number (2848846182).

Almost surely, 2^553116708864 is an apocalyptic number.

553116708864 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 553116708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888840008784).

553116708864 is an abundant number, since it is smaller than the sum of its proper divisors (1224563308704).

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

553116708864 is an equidigital number, since it uses as much as digits as its factorization.

553116708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 553116708864 in words is "five hundred fifty-three billion, one hundred sixteen million, seven hundred eight thousand, eight hundred sixty-four".