551249233920 has 576 divisors, whose sum is σ = 2381991131520. Its totient is φ = 114543820800.

The previous prime is 551249233901. The next prime is 551249233933. The reversal of 551249233920 is 29332942155.

551249233920 is a `hidden beast` number, since 5 + 51 + 249 + 2 + 339 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7057480 + ... + 7135160.

It is an arithmetic number, because the mean of its divisors is an integer number (4135401270).

Almost surely, 2^551249233920 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 551249233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190995565760).

551249233920 is an abundant number, since it is smaller than the sum of its proper divisors (1830741897600).

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

551249233920 is a wasteful number, since it uses less digits than its factorization.

551249233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77732 (or 77709 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 551249233920 in words is "five hundred fifty-one billion, two hundred forty-nine million, two hundred thirty-three thousand, nine hundred twenty".