51148193040 has 640 divisors, whose sum is σ = 221185843200. Its totient is φ = 10592778240.

The previous prime is 51148193039. The next prime is 51148193051. The reversal of 51148193040 is 4039184115.

51148193040 is a `hidden beast` number, since 51 + 1 + 481 + 93 + 0 + 40 = 666.

It is a super-2 number, since 2×51148193040² (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 a junction number, because it is equal to n+sod(n) for n = 51148192986 and 51148193004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6603570 + ... + 6611310.

It is an arithmetic number, because the mean of its divisors is an integer number (345602880).

Almost surely, 2^51148193040 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 51148193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110592921600).

51148193040 is an abundant number, since it is smaller than the sum of its proper divisors (170037650160).

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

51148193040 is a wasteful number, since it uses less digits than its factorization.

51148193040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7812 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 51148193040 in words is "fifty-one billion, one hundred forty-eight million, one hundred ninety-three thousand, forty".