51120661284 has 432 divisors, whose sum is σ = 167956332544. Its totient is φ = 12825267840.

The previous prime is 51120661271. The next prime is 51120661297. The reversal of 51120661284 is 48216602115.

It is a happy number.

51120661284 is a `hidden beast` number, since 5 + 11 + 20 + 6 + 612 + 8 + 4 = 666.

51120661284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51120661271) and next prime (51120661297).

It is a super-2 number, since 2×51120661284² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166516659 + ... + 166516965.

Almost surely, 2^51120661284 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 51120661284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83978166272).

51120661284 is an abundant number, since it is smaller than the sum of its proper divisors (116835671260).

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

51120661284 is a wasteful number, since it uses less digits than its factorization.

51120661284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 51120661284 in words is "fifty-one billion, one hundred twenty million, six hundred sixty-one thousand, two hundred eighty-four".