53966513250 has 320 divisors, whose sum is σ = 168151183200. Its totient is φ = 12824179200.

The previous prime is 53966513233. The next prime is 53966513287. The reversal of 53966513250 is 5231566935.

53966513250 is a `hidden beast` number, since 5 + 396 + 6 + 5 + 1 + 3 + 250 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 11165937561 + 42800575689 = 105669^2 + 206883^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53966513196 and 53966513205.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7630716 + ... + 7637784.

Almost surely, 2^53966513250 is an apocalyptic number.

53966513250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53966513250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84075591600).

53966513250 is an abundant number, since it is smaller than the sum of its proper divisors (114184669950).

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

53966513250 is a wasteful number, since it uses less digits than its factorization.

53966513250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 53966513250 in words is "fifty-three billion, nine hundred sixty-six million, five hundred thirteen thousand, two hundred fifty".