53578776384 has 252 divisors, whose sum is σ = 183008377188. Its totient is φ = 14934528000.

The previous prime is 53578776341. The next prime is 53578776401. The reversal of 53578776384 is 48367787535.

53578776384 is a `hidden beast` number, since 53 + 578 + 7 + 7 + 6 + 3 + 8 + 4 = 666.

53578776384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8414025984 + 45164750400 = 91728^2 + 212520^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×53578776384² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1134034 + ... + 1180334.

It is an arithmetic number, because the mean of its divisors is an integer number (726223719).

Almost surely, 2^53578776384 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 53578776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91504188594).

53578776384 is an abundant number, since it is smaller than the sum of its proper divisors (129429600804).

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

53578776384 is a wasteful number, since it uses less digits than its factorization.

53578776384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46374 (or 46354 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

It can be divided in two parts, 535787 and 76384, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 53578776384 in words is "fifty-three billion, five hundred seventy-eight million, seven hundred seventy-six thousand, three hundred eighty-four".