53767988352 has 512 divisors, whose sum is σ = 181463385600. Its totient is φ = 15547023360.

The previous prime is 53767988341. The next prime is 53767988353. The reversal of 53767988352 is 25388976735.

53767988352 is a `hidden beast` number, since 537 + 6 + 7 + 98 + 8 + 3 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53767988352.

It is not an unprimeable number, because it can be changed into a prime (53767988353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63033558 + ... + 63034410.

It is an arithmetic number, because the mean of its divisors is an integer number (354420675).

Almost surely, 2^53767988352 is an apocalyptic number.

53767988352 is a gapful number since it is divisible by the number (52) 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 53767988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90731692800).

53767988352 is an abundant number, since it is smaller than the sum of its proper divisors (127695397248).

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

53767988352 is a wasteful number, since it uses less digits than its factorization.

53767988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 955 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 53767988352 in words is "fifty-three billion, seven hundred sixty-seven million, nine hundred eighty-eight thousand, three hundred fifty-two".