53385121715040 has 576 divisors, whose sum is σ = 201208552796160. Its totient is φ = 12829086167040.

The previous prime is 53385121714979. The next prime is 53385121715041. The reversal of 53385121715040 is 4051712158335.

53385121715040 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 51 + 21 + 71 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53385121715041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113665329 + ... + 114134031.

It is an arithmetic number, because the mean of its divisors is an integer number (349320404160).

Almost surely, 2^{53385121715040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53385121715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100604276398080).

53385121715040 is an abundant number, since it is smaller than the sum of its proper divisors (147823431081120).

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

53385121715040 is a wasteful number, since it uses less digits than its factorization.

53385121715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468947 (or 468936 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 53385121715040 in words is "fifty-three trillion, three hundred eighty-five billion, one hundred twenty-one million, seven hundred fifteen thousand, forty".