53552378880 has 2112 divisors, whose sum is σ = 264376240128. Its totient is φ = 10032906240.

The previous prime is 53552378819. The next prime is 53552378897. The reversal of 53552378880 is 8887325535.

It is a happy number.

53552378880 is a `hidden beast` number, since 5 + 3 + 552 + 3 + 7 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1245404139 + ... + 1245404181.

It is an arithmetic number, because the mean of its divisors is an integer number (125178144).

Almost surely, 2^53552378880 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 53552378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132188120064).

53552378880 is an abundant number, since it is smaller than the sum of its proper divisors (210823861248).

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

53552378880 is a wasteful number, since it uses less digits than its factorization.

53552378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 53552378880 in words is "fifty-three billion, five hundred fifty-two million, three hundred seventy-eight thousand, eight hundred eighty".