53105345550400 has 168 divisors, whose sum is σ = 153517156398144. Its totient is φ = 17825570457600.

The previous prime is 53105345550331. The next prime is 53105345550401. The reversal of 53105345550400 is 405554350135.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (53105345550401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115823092 + ... + 116280691.

It is an arithmetic number, because the mean of its divisors is an integer number (913792597608).

Almost surely, 2^{53105345550400} is an apocalyptic number.

53105345550400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53105345550400 is an abundant number, since it is smaller than the sum of its proper divisors (100411810847744).

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

53105345550400 is a wasteful number, since it uses less digits than its factorization.

53105345550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232103829 (or 232103814 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 40.

The spelling of 53105345550400 in words is "fifty-three trillion, one hundred five billion, three hundred forty-five million, five hundred fifty thousand, four hundred".