53830890408960 has 2112 divisors, whose sum is σ = 222735265579008. Its totient is φ = 11766988800000.

The previous prime is 53830890408949. The next prime is 53830890409007. The reversal of 53830890408960 is 6980409803835.

53830890408960 is a `hidden beast` number, since 5 + 3 + 83 + 0 + 8 + 90 + 408 + 9 + 60 = 666.

53830890408960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 255122703255 + ... + 255122703465.

Almost surely, 2^{53830890408960} 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 53830890408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111367632789504).

53830890408960 is an abundant number, since it is smaller than the sum of its proper divisors (168904375170048).

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

53830890408960 is a wasteful number, since it uses less digits than its factorization.

53830890408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 53830890408960 in words is "fifty-three trillion, eight hundred thirty billion, eight hundred ninety million, four hundred eight thousand, nine hundred sixty".