550544880015360 has 3840 divisors, whose sum is σ = 2219310213120000. Its totient is φ = 129914351124480.

The previous prime is 550544880015359. The next prime is 550544880015409. The reversal of 550544880015360 is 63510088445055.

550544880015360 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 4 + 488 + 0 + 0 + 153 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×550544880015360² (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 a junction number, because it is equal to n+sod(n) for n = 550544880015297 and 550544880015306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3694932080566 + ... + 3694932080714.

It is an arithmetic number, because the mean of its divisors is an integer number (577945368000).

Almost surely, 2^{550544880015360} 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 550544880015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109655106560000).

550544880015360 is an abundant number, since it is smaller than the sum of its proper divisors (1668765333104640).

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

550544880015360 is a wasteful number, since it uses less digits than its factorization.

550544880015360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 550544880015360 in words is "five hundred fifty trillion, five hundred forty-four billion, eight hundred eighty million, fifteen thousand, three hundred sixty".