53378268800 has 192 divisors, whose sum is σ = 133590389400. Its totient is φ = 21073428480.

The previous prime is 53378268787. The next prime is 53378268817. The reversal of 53378268800 is 886287335.

It can be written as a sum of positive squares in 12 ways, for example, as 2045210176 + 51333058624 = 45224^2 + 226568^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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 23 ways as a sum of consecutive naturals, for example, 137219006 + ... + 137219394.

Almost surely, 2^53378268800 is an apocalyptic number.

53378268800 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 53378268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66795194700).

53378268800 is an abundant number, since it is smaller than the sum of its proper divisors (80212120600).

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

53378268800 is a wasteful number, since it uses less digits than its factorization.

53378268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 53378268800 in words is "fifty-three billion, three hundred seventy-eight million, two hundred sixty-eight thousand, eight hundred".