53955203568000 has 2048 divisors, whose sum is σ = 231124238991360. Its totient is φ = 10843176960000.

The previous prime is 53955203567981. The next prime is 53955203568029. The reversal of 53955203568000 is 86530255935.

It is a super-2 number, since 2×53955203568000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5649163225 + ... + 5649172775.

It is an arithmetic number, because the mean of its divisors is an integer number (112853632320).

Almost surely, 2^{53955203568000} is an apocalyptic number.

53955203568000 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 53955203568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115562119495680).

53955203568000 is an abundant number, since it is smaller than the sum of its proper divisors (177169035423360).

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

53955203568000 is a wasteful number, since it uses less digits than its factorization.

53955203568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9673 (or 9651 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 53955203568000 in words is "fifty-three trillion, nine hundred fifty-five billion, two hundred three million, five hundred sixty-eight thousand".