51197535648 has 384 divisors, whose sum is σ = 186537738240. Its totient is φ = 13322465280.

The previous prime is 51197535637. The next prime is 51197535713. The reversal of 51197535648 is 84653579115.

51197535648 is a `hidden beast` number, since 5 + 1 + 1 + 9 + 75 + 3 + 564 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51197535594 and 51197535603.

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 63 ways as a sum of consecutive naturals, for example, 3179265 + ... + 3195327.

It is an arithmetic number, because the mean of its divisors is an integer number (485775360).

Almost surely, 2^51197535648 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 51197535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93268869120).

51197535648 is an abundant number, since it is smaller than the sum of its proper divisors (135340202592).

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

51197535648 is a wasteful number, since it uses less digits than its factorization.

51197535648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16137 (or 16123 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 51197535648 in words is "fifty-one billion, one hundred ninety-seven million, five hundred thirty-five thousand, six hundred forty-eight".