53856367044480 has 6144 divisors, whose sum is σ = 273737318400000. Its totient is φ = 9586441912320.

The previous prime is 53856367044421. The next prime is 53856367044523. The reversal of 53856367044480 is 8444076365835.

It is a happy number.

53856367044480 is a `hidden beast` number, since 5 + 3 + 8 + 56 + 3 + 67 + 0 + 44 + 480 = 666.

It is a super-3 number, since 3×53856367044480³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 424065882177 + ... + 424065882303.

It is an arithmetic number, because the mean of its divisors is an integer number (44553600000).

Almost surely, 2^{53856367044480} 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 53856367044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136868659200000).

53856367044480 is an abundant number, since it is smaller than the sum of its proper divisors (219880951355520).

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

53856367044480 is a wasteful number, since it uses less digits than its factorization.

53856367044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 53856367044480 in words is "fifty-three trillion, eight hundred fifty-six billion, three hundred sixty-seven million, forty-four thousand, four hundred eighty".