551135767680 has 640 divisors, whose sum is σ = 2090256917760. Its totient is φ = 137908224000.

The previous prime is 551135767649. The next prime is 551135767703. The reversal of 551135767680 is 86767531155.

It is a happy number.

551135767680 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 3 + 576 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 379830955 + ... + 379832405.

It is an arithmetic number, because the mean of its divisors is an integer number (3266026434).

Almost surely, 2^551135767680 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 551135767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045128458880).

551135767680 is an abundant number, since it is smaller than the sum of its proper divisors (1539121150080).

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

551135767680 is a wasteful number, since it uses less digits than its factorization.

551135767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 551135767680 in words is "five hundred fifty-one billion, one hundred thirty-five million, seven hundred sixty-seven thousand, six hundred eighty".