51904345680 has 240 divisors, whose sum is σ = 190624674240. Its totient is φ = 12552038400.

The previous prime is 51904345679. The next prime is 51904345687. The reversal of 51904345680 is 8654340915.

51904345680 is a `hidden beast` number, since 5 + 1 + 90 + 434 + 56 + 80 = 666.

51904345680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×51904345680² (a number of 22 digits) contains 22 as substring.

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 (51904345687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3310660 + ... + 3326300.

It is an arithmetic number, because the mean of its divisors is an integer number (794269476).

Almost surely, 2^51904345680 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 51904345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95312337120).

51904345680 is an abundant number, since it is smaller than the sum of its proper divisors (138720328560).

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

51904345680 is a wasteful number, since it uses less digits than its factorization.

51904345680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16090 (or 16081 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 51904345680 in words is "fifty-one billion, nine hundred four million, three hundred forty-five thousand, six hundred eighty".