53107627100000 has 576 divisors, whose sum is σ = 145799325120960. Its totient is φ = 18876748800000.

The previous prime is 53107627099993. The next prime is 53107627100027. The reversal of 53107627100000 is 172670135.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 53107627100000.

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, 17081898446 + ... + 17081901554.

It is an arithmetic number, because the mean of its divisors is an integer number (253123828335).

Almost surely, 2^{53107627100000} is an apocalyptic number.

53107627100000 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 53107627100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72899662560480).

53107627100000 is an abundant number, since it is smaller than the sum of its proper divisors (92691698020960).

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

53107627100000 is a wasteful number, since it uses less digits than its factorization.

53107627100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

Adding to 53107627100000 its reverse (172670135), we get a palindrome (53107799770135).

The spelling of 53107627100000 in words is "fifty-three trillion, one hundred seven billion, six hundred twenty-seven million, one hundred thousand".