53950281984 has 135 divisors (see below), whose sum is σ = 160969774273. Its totient is φ = 17972278272.

The previous prime is 53950281977. The next prime is 53950281989. The reversal of 53950281984 is 48918205935.

The square root of 53950281984 is 232272.

It is a perfect power (a square), and thus also a powerful number.

53950281984 is a `hidden beast` number, since 53 + 9 + 502 + 8 + 1 + 9 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33708960000 + 20241321984 = 183600^2 + 142272^2 .

It is a super-2 number, since 2×53950281984² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53950281984.

It is not an unprimeable number, because it can be changed into a prime (53950281989) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 33446362 + ... + 33447974.

Almost surely, 2^53950281984 is an apocalyptic number.

53950281984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

53950281984 is the 232272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53950281984

53950281984 is an abundant number, since it is smaller than the sum of its proper divisors (107019492289).

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

53950281984 is an frugal number, since it uses more digits than its factorization.

53950281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 53950281984 in words is "fifty-three billion, nine hundred fifty million, two hundred eighty-one thousand, nine hundred eighty-four".