551101315826880 has 1260 divisors, whose sum is σ = 2469335626866240. Its totient is φ = 116276276293632.

The previous prime is 551101315826861. The next prime is 551101315826881. The reversal of 551101315826880 is 88628513101155.

It is a happy number.

551101315826880 is a `hidden beast` number, since 5 + 5 + 110 + 1 + 315 + 82 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×551101315826880² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (551101315826881) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 213359761 + ... + 215927279.

Almost surely, 2^{551101315826880} 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 551101315826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234667813433120).

551101315826880 is an abundant number, since it is smaller than the sum of its proper divisors (1918234311039360).

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

551101315826880 is a wasteful number, since it uses less digits than its factorization.

551101315826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567588 (or 2567549 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 54.

The spelling of 551101315826880 in words is "five hundred fifty-one trillion, one hundred one billion, three hundred fifteen million, eight hundred twenty-six thousand, eight hundred eighty".