51959070240 has 768 divisors, whose sum is σ = 213199257600. Its totient is φ = 10321920000.

The previous prime is 51959070239. The next prime is 51959070269. The reversal of 51959070240 is 4207095915.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 51959070192 and 51959070201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115721536 + ... + 115721984.

It is an arithmetic number, because the mean of its divisors is an integer number (277603200).

Almost surely, 2^51959070240 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 51959070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106599628800).

51959070240 is an abundant number, since it is smaller than the sum of its proper divisors (161240187360).

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

51959070240 is a wasteful number, since it uses less digits than its factorization.

51959070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 51959070240 in words is "fifty-one billion, nine hundred fifty-nine million, seventy thousand, two hundred forty".