55247568929280 has 3840 divisors, whose sum is σ = 268815314718720. Its totient is φ = 10612585267200.

The previous prime is 55247568929251. The next prime is 55247568929321. The reversal of 55247568929280 is 8292986574255.

It is a happy number.

55247568929280 is a `hidden beast` number, since 5 + 5 + 2 + 475 + 68 + 9 + 2 + 92 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 55247568929199 and 55247568929208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23203513690 + ... + 23203516070.

It is an arithmetic number, because the mean of its divisors is an integer number (70003988208).

Almost surely, 2^{55247568929280} 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 55247568929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134407657359360).

55247568929280 is an abundant number, since it is smaller than the sum of its proper divisors (213567745789440).

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

55247568929280 is a wasteful number, since it uses less digits than its factorization.

55247568929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 55247568929280 in words is "fifty-five trillion, two hundred forty-seven billion, five hundred sixty-eight million, nine hundred twenty-nine thousand, two hundred eighty".