53078784000 has 768 divisors, whose sum is σ = 197717345280. Its totient is φ = 12533760000.

The previous prime is 53078783981. The next prime is 53078784001. The reversal of 53078784000 is 48787035.

53078784000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53078784001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515327949 + ... + 515328051.

It is an arithmetic number, because the mean of its divisors is an integer number (257444460).

Almost surely, 2^53078784000 is an apocalyptic number.

53078784000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53078784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98858672640).

53078784000 is an abundant number, since it is smaller than the sum of its proper divisors (144638561280).

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

53078784000 is a wasteful number, since it uses less digits than its factorization.

53078784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 53078784000 in words is "fifty-three billion, seventy-eight million, seven hundred eighty-four thousand".