53858784672 has 576 divisors, whose sum is σ = 196547420160. Its totient is φ = 13586227200.

The previous prime is 53858784671. The next prime is 53858784677. The reversal of 53858784672 is 27648785835.

53858784672 is a `hidden beast` number, since 5 + 3 + 8 + 587 + 8 + 46 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (53858784671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124384968 + ... + 124385400.

It is an arithmetic number, because the mean of its divisors is an integer number (341228160).

Almost surely, 2^53858784672 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 53858784672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98273710080).

53858784672 is an abundant number, since it is smaller than the sum of its proper divisors (142688635488).

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

53858784672 is a wasteful number, since it uses less digits than its factorization.

53858784672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 606 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 53858784672 in words is "fifty-three billion, eight hundred fifty-eight million, seven hundred eighty-four thousand, six hundred seventy-two".