53956404288 has 252 divisors, whose sum is σ = 169073890960. Its totient is φ = 17036345088.

The previous prime is 53956404287. The next prime is 53956404317. The reversal of 53956404288 is 88240465935.

53956404288 is a `hidden beast` number, since 5 + 39 + 564 + 0 + 42 + 8 + 8 = 666.

It is a super-2 number, since 2×53956404288² (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 not an unprimeable number, because it can be changed into a prime (53956404287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7974795 + ... + 7981557.

Almost surely, 2^53956404288 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 53956404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84536945480).

53956404288 is an abundant number, since it is smaller than the sum of its proper divisors (115117486672).

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

53956404288 is an frugal number, since it uses more digits than its factorization.

53956404288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 53956404288 in words is "fifty-three billion, nine hundred fifty-six million, four hundred four thousand, two hundred eighty-eight".