53857832878080 has 2880 divisors, whose sum is σ = 248904549089280. Its totient is φ = 10723000320000.

The previous prime is 53857832878079. The next prime is 53857832878097. The reversal of 53857832878080 is 8087823875835.

It is a happy number.

53857832878080 is a `hidden beast` number, since 5 + 3 + 85 + 78 + 328 + 7 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×53857832878080² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 533245870030 + ... + 533245870130.

It is an arithmetic number, because the mean of its divisors is an integer number (86425190656).

Almost surely, 2^{53857832878080} 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 53857832878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124452274544640).

53857832878080 is an abundant number, since it is smaller than the sum of its proper divisors (195046716211200).

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

53857832878080 is a wasteful number, since it uses less digits than its factorization.

53857832878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 53857832878080 in words is "fifty-three trillion, eight hundred fifty-seven billion, eight hundred thirty-two million, eight hundred seventy-eight thousand, eighty".