51658122240 has 792 divisors, whose sum is σ = 195809273088. Its totient is φ = 12572098560.

The previous prime is 51658122233. The next prime is 51658122281. The reversal of 51658122240 is 4222185615.

51658122240 is a `hidden beast` number, since 5 + 16 + 581 + 2 + 22 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51658122195 and 51658122204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1201351659 + ... + 1201351701.

Almost surely, 2^51658122240 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 51658122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97904636544).

51658122240 is an abundant number, since it is smaller than the sum of its proper divisors (144151150848).

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

51658122240 is a wasteful number, since it uses less digits than its factorization.

51658122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 51658122240 in words is "fifty-one billion, six hundred fifty-eight million, one hundred twenty-two thousand, two hundred forty".