551261353621440 has 4480 divisors, whose sum is σ = 2515632133754880. Its totient is φ = 100780543180800.

The previous prime is 551261353621291. The next prime is 551261353621441. The reversal of 551261353621440 is 44126353162155.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 551261353621440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551261353621441) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 679730398635 + ... + 679730399445.

It is an arithmetic number, because the mean of its divisors is an integer number (561525029856).

Almost surely, 2^{551261353621440} 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 551261353621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257816066877440).

551261353621440 is an abundant number, since it is smaller than the sum of its proper divisors (1964370780133440).

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

551261353621440 is a wasteful number, since it uses less digits than its factorization.

551261353621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 551261353621440 in words is "five hundred fifty-one trillion, two hundred sixty-one billion, three hundred fifty-three million, six hundred twenty-one thousand, four hundred forty".