53508517321000 has 128 divisors (see below), whose sum is σ = 143289671016960. Its totient is φ = 18321084096000.

The previous prime is 53508517320971. The next prime is 53508517321033. The reversal of 53508517321000 is 12371580535.

It is a super-2 number, since 2×53508517321000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56940 + ... + 10345060.

It is an arithmetic number, because the mean of its divisors is an integer number (1119450554820).

Almost surely, 2^{53508517321000} is an apocalyptic number.

53508517321000 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 53508517321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71644835508480).

53508517321000 is an abundant number, since it is smaller than the sum of its proper divisors (89781153695960).

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

53508517321000 is a wasteful number, since it uses less digits than its factorization.

53508517321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10288892 (or 10288878 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 53508517321000 in words is "fifty-three trillion, five hundred eight billion, five hundred seventeen million, three hundred twenty-one thousand".