53164334039040 has 2160 divisors, whose sum is σ = 228977269204320. Its totient is φ = 11343872655360.

The previous prime is 53164334038979. The next prime is 53164334039087. The reversal of 53164334039040 is 4093043346135.

53164334039040 is a `hidden beast` number, since 5 + 31 + 64 + 33 + 403 + 90 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50107760110 + ... + 50107761170.

It is an arithmetic number, because the mean of its divisors is an integer number (106007995002).

Almost surely, 2^{53164334039040} 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 53164334039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114488634602160).

53164334039040 is an abundant number, since it is smaller than the sum of its proper divisors (175812935165280).

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

53164334039040 is a wasteful number, since it uses less digits than its factorization.

53164334039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 53164334039040 in words is "fifty-three trillion, one hundred sixty-four billion, three hundred thirty-four million, thirty-nine thousand, forty".