53958028787712 has 1536 divisors, whose sum is σ = 193463849779200. Its totient is φ = 14706902827008.

The previous prime is 53958028787671. The next prime is 53958028787771. The reversal of 53958028787712 is 21778782085935.

53958028787712 is a `hidden beast` number, since 5 + 3 + 9 + 580 + 28 + 7 + 8 + 7 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×53958028787712² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112647241489 + ... + 112647241967.

It is an arithmetic number, because the mean of its divisors is an integer number (125953027200).

Almost surely, 2^{53958028787712} 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 53958028787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96731924889600).

53958028787712 is an abundant number, since it is smaller than the sum of its proper divisors (139505820991488).

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

53958028787712 is an frugal number, since it uses more digits than its factorization.

53958028787712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 72.

The spelling of 53958028787712 in words is "fifty-three trillion, nine hundred fifty-eight billion, twenty-eight million, seven hundred eighty-seven thousand, seven hundred twelve".