553755678336 has 512 divisors, whose sum is σ = 1898079321600. Its totient is φ = 157615165440.

The previous prime is 553755678313. The next prime is 553755678379. The reversal of 553755678336 is 633876557355.

553755678336 is a `hidden beast` number, since 5 + 5 + 3 + 7 + 556 + 78 + 3 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 903353166 + ... + 903353778.

It is an arithmetic number, because the mean of its divisors is an integer number (3707186175).

Almost surely, 2^553755678336 is an apocalyptic number.

553755678336 is a gapful number since it is divisible by the number (56) 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 553755678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949039660800).

553755678336 is an abundant number, since it is smaller than the sum of its proper divisors (1344323643264).

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

553755678336 is an frugal number, since it uses more digits than its factorization.

553755678336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1086 counting only the distinct ones).

The product of its digits is 238140000, while the sum is 63.

The spelling of 553755678336 in words is "five hundred fifty-three billion, seven hundred fifty-five million, six hundred seventy-eight thousand, three hundred thirty-six".