53065584000 has 1024 divisors, whose sum is σ = 229896576000. Its totient is φ = 11860992000.

The previous prime is 53065583999. The next prime is 53065584041. The reversal of 53065584000 is 48556035.

It is a super-2 number, since 2×53065584000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61775571 + ... + 61776429.

It is an arithmetic number, because the mean of its divisors is an integer number (224508375).

Almost surely, 2^53065584000 is an apocalyptic number.

53065584000 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 53065584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114948288000).

53065584000 is an abundant number, since it is smaller than the sum of its proper divisors (176830992000).

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

53065584000 is a wasteful number, since it uses less digits than its factorization.

53065584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 53065584000 in words is "fifty-three billion, sixty-five million, five hundred eighty-four thousand".