51524881920 has 320 divisors, whose sum is σ = 183845376000. Its totient is φ = 13678092288.

The previous prime is 51524881841. The next prime is 51524881927. The reversal of 51524881920 is 2918842515.

51524881920 is a `hidden beast` number, since 5 + 152 + 488 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (51524881927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16518121 + ... + 16521239.

It is an arithmetic number, because the mean of its divisors is an integer number (574516800).

Almost surely, 2^51524881920 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 51524881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688000).

51524881920 is an abundant number, since it is smaller than the sum of its proper divisors (132320494080).

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

51524881920 is a wasteful number, since it uses less digits than its factorization.

51524881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 51524881920 in words is "fifty-one billion, five hundred twenty-four million, eight hundred eighty-one thousand, nine hundred twenty".