53407075680 has 960 divisors, whose sum is σ = 230390092800. Its totient is φ = 11522165760.

The previous prime is 53407075651. The next prime is 53407075753. The reversal of 53407075680 is 8657070435.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 197073945 + ... + 197074215.

It is an arithmetic number, because the mean of its divisors is an integer number (239989680).

Almost surely, 2^53407075680 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 53407075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115195046400).

53407075680 is an abundant number, since it is smaller than the sum of its proper divisors (176983017120).

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

53407075680 is a wasteful number, since it uses less digits than its factorization.

53407075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 53407075680 in words is "fifty-three billion, four hundred seven million, seventy-five thousand, six hundred eighty".