51959880 has 320 divisors, whose sum is σ = 209088000. Its totient is φ = 11321856.

The previous prime is 51959857. The next prime is 51959881. The reversal of 51959880 is 8895915.

51959880 is a `hidden beast` number, since 51 + 9 + 598 + 8 + 0 = 666.

It is a super-2 number, since 2×51959880² = 5399658259228800, which 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 (51959881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 657681 + ... + 657759.

It is an arithmetic number, because the mean of its divisors is an integer number (653400).

Almost surely, 2^51959880 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 51959880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544000).

51959880 is an abundant number, since it is smaller than the sum of its proper divisors (157128120).

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

51959880 is a wasteful number, since it uses less digits than its factorization.

51959880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 51959880 is about 7208.3201926662. The cubic root of 51959880 is about 373.1550984533.

The spelling of 51959880 in words is "fifty-one million, nine hundred fifty-nine thousand, eight hundred eighty".