53865409536000 has 1344 divisors, whose sum is σ = 207909159284736. Its totient is φ = 13898760192000.

The previous prime is 53865409535963. The next prime is 53865409536041. The reversal of 53865409536000 is 63590456835.

It is a happy number.

53865409536000 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 540 + 95 + 3 + 6 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7713788509 + ... + 7713795491.

It is an arithmetic number, because the mean of its divisors is an integer number (154694314944).

Almost surely, 2^{53865409536000} is an apocalyptic number.

53865409536000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53865409536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103954579642368).

53865409536000 is an abundant number, since it is smaller than the sum of its proper divisors (154043749748736).

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

53865409536000 is an frugal number, since it uses more digits than its factorization.

53865409536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 53865409536000 in words is "fifty-three trillion, eight hundred sixty-five billion, four hundred nine million, five hundred thirty-six thousand".