551965982507640 has 256 divisors, whose sum is σ = 1899414389145600. Its totient is φ = 142429589222400.

The previous prime is 551965982507587. The next prime is 551965982507669. The reversal of 551965982507640 is 46705289569155.

551965982507640 is a `hidden beast` number, since 5 + 5 + 1 + 9 + 6 + 59 + 8 + 2 + 507 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 361860804 + ... + 363382956.

It is an arithmetic number, because the mean of its divisors is an integer number (7419587457600).

Almost surely, 2^{551965982507640} 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 551965982507640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949707194572800).

551965982507640 is an abundant number, since it is smaller than the sum of its proper divisors (1347448406637960).

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

551965982507640 is a wasteful number, since it uses less digits than its factorization.

551965982507640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533035 (or 1533025 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 551965982507640 in words is "five hundred fifty-one trillion, nine hundred sixty-five billion, nine hundred eighty-two million, five hundred seven thousand, six hundred forty".