550090386972 has 288 divisors, whose sum is σ = 1707908328000. Its totient is φ = 152555913216.

The previous prime is 550090386943. The next prime is 550090386991. The reversal of 550090386972 is 279683090055.

550090386972 is a `hidden beast` number, since 5 + 500 + 9 + 0 + 3 + 8 + 69 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87912868 + ... + 87919124.

It is an arithmetic number, because the mean of its divisors is an integer number (5930237250).

Almost surely, 2^550090386972 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 550090386972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853954164000).

550090386972 is an abundant number, since it is smaller than the sum of its proper divisors (1157817941028).

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

550090386972 is a wasteful number, since it uses less digits than its factorization.

550090386972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6770 (or 6755 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 550090386972 in words is "five hundred fifty billion, ninety million, three hundred eighty-six thousand, nine hundred seventy-two".