552777250314240 has 1152 divisors, whose sum is σ = 2297372535057600. Its totient is φ = 125707112939520.

The previous prime is 552777250314227. The next prime is 552777250314241. The reversal of 552777250314240 is 42413052777255.

552777250314240 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 77 + 250 + 314 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552777250314241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2668757880 + ... + 2668965000.

Almost surely, 2^{552777250314240} 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 552777250314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148686267528800).

552777250314240 is an abundant number, since it is smaller than the sum of its proper divisors (1744595284743360).

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

552777250314240 is a wasteful number, since it uses less digits than its factorization.

552777250314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207368 (or 207335 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 552777250314240 in words is "five hundred fifty-two trillion, seven hundred seventy-seven billion, two hundred fifty million, three hundred fourteen thousand, two hundred forty".