51758610480 has 120 divisors (see below), whose sum is σ = 174696631200. Its totient is φ = 13732899840.

The previous prime is 51758610461. The next prime is 51758610503. The reversal of 51758610480 is 8401685715.

51758610480 is a `hidden beast` number, since 5 + 17 + 586 + 10 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37341 + ... + 323900.

It is an arithmetic number, because the mean of its divisors is an integer number (1455805260).

Almost surely, 2^51758610480 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 51758610480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87348315600).

51758610480 is an abundant number, since it is smaller than the sum of its proper divisors (122938020720).

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

51758610480 is a wasteful number, since it uses less digits than its factorization.

51758610480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361459 (or 361450 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 51758610480 in words is "fifty-one billion, seven hundred fifty-eight million, six hundred ten thousand, four hundred eighty".