53967041856 has 896 divisors, whose sum is σ = 209013145600. Its totient is φ = 13423491072.

The previous prime is 53967041831. The next prime is 53967041857. The reversal of 53967041856 is 65814076935.

53967041856 is a `hidden beast` number, since 5 + 396 + 70 + 4 + 185 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53967041857) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 242004561 + ... + 242004783.

It is an arithmetic number, because the mean of its divisors is an integer number (233273600).

Almost surely, 2^53967041856 is an apocalyptic number.

53967041856 is a gapful number since it is divisible by the number (56) 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 53967041856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104506572800).

53967041856 is an abundant number, since it is smaller than the sum of its proper divisors (155046103744).

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

53967041856 is a wasteful number, since it uses less digits than its factorization.

53967041856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 53967041856 in words is "fifty-three billion, nine hundred sixty-seven million, forty-one thousand, eight hundred fifty-six".