53978187504384 has 1152 divisors, whose sum is σ = 197182279526400. Its totient is φ = 14338695168000.

The previous prime is 53978187504377. The next prime is 53978187504419. The reversal of 53978187504384 is 48340578187935.

53978187504384 is a `hidden beast` number, since 5 + 3 + 9 + 7 + 8 + 1 + 87 + 504 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1748492469 + ... + 1748523339.

It is an arithmetic number, because the mean of its divisors is an integer number (171165173200).

Almost surely, 2^{53978187504384} is an apocalyptic number.

53978187504384 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53978187504384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98591139763200).

53978187504384 is an abundant number, since it is smaller than the sum of its proper divisors (143204092022016).

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

53978187504384 is a wasteful number, since it uses less digits than its factorization.

53978187504384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31010 (or 30990 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 53978187504384 in words is "fifty-three trillion, nine hundred seventy-eight billion, one hundred eighty-seven million, five hundred four thousand, three hundred eighty-four".