53345756100 has 864 divisors, whose sum is σ = 206469285120. Its totient is φ = 10516746240.

The previous prime is 53345756069. The next prime is 53345756129. The reversal of 53345756100 is 165754335.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 232950786 + ... + 232951014.

It is an arithmetic number, because the mean of its divisors is an integer number (238969080).

Almost surely, 2^53345756100 is an apocalyptic number.

53345756100 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 53345756100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103234642560).

53345756100 is an abundant number, since it is smaller than the sum of its proper divisors (153123529020).

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

53345756100 is a wasteful number, since it uses less digits than its factorization.

53345756100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

The spelling of 53345756100 in words is "fifty-three billion, three hundred forty-five million, seven hundred fifty-six thousand, one hundred".