51120202560 has 672 divisors, whose sum is σ = 195696230400. Its totient is φ = 11266117632.

The previous prime is 51120202559. The next prime is 51120202607. The reversal of 51120202560 is 6520202115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×51120202560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 51120202560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256885341 + ... + 256885539.

Almost surely, 2^51120202560 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 51120202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97848115200).

51120202560 is an abundant number, since it is smaller than the sum of its proper divisors (144576027840).

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

51120202560 is a wasteful number, since it uses less digits than its factorization.

51120202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 51120202560 its reverse (6520202115), we get a palindrome (57640404675).

The spelling of 51120202560 in words is "fifty-one billion, one hundred twenty million, two hundred two thousand, five hundred sixty".