53621568000 has 2560 divisors, whose sum is σ = 274542428160. Its totient is φ = 9953280000.

The previous prime is 53621567999. The next prime is 53621568001. The reversal of 53621568000 is 86512635.

It is an interprime number because it is at equal distance from previous prime (53621567999) and next prime (53621568001).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53621568001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1729727985 + ... + 1729728015.

It is an arithmetic number, because the mean of its divisors is an integer number (107243136).

Almost surely, 2^53621568000 is an apocalyptic number.

53621568000 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 53621568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137271214080).

53621568000 is an abundant number, since it is smaller than the sum of its proper divisors (220920860160).

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

53621568000 is a wasteful number, since it uses less digits than its factorization.

53621568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 53621568000 in words is "fifty-three billion, six hundred twenty-one million, five hundred sixty-eight thousand".