53868900960 has 672 divisors, whose sum is σ = 230956391232. Its totient is φ = 11585617920.

The previous prime is 53868900931. The next prime is 53868900971. The reversal of 53868900960 is 6900986835.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 53868900897 and 53868900906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13878220 + ... + 13882100.

It is an arithmetic number, because the mean of its divisors is an integer number (343685106).

Almost surely, 2^53868900960 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 53868900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115478195616).

53868900960 is an abundant number, since it is smaller than the sum of its proper divisors (177087490272).

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

53868900960 is a wasteful number, since it uses less digits than its factorization.

53868900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 53868900960 in words is "fifty-three billion, eight hundred sixty-eight million, nine hundred thousand, nine hundred sixty".