51949148832 has 576 divisors, whose sum is σ = 183162470400. Its totient is φ = 13638481920.

The previous prime is 51949148827. The next prime is 51949148837. The reversal of 51949148832 is 23884194915.

It is a happy number.

51949148832 is a `hidden beast` number, since 519 + 4 + 9 + 1 + 48 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51949148827) and next prime (51949148837).

It is not an unprimeable number, because it can be changed into a prime (51949148837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287011782 + ... + 287011962.

It is an arithmetic number, because the mean of its divisors is an integer number (317990400).

Almost surely, 2^51949148832 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 51949148832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91581235200).

51949148832 is an abundant number, since it is smaller than the sum of its proper divisors (131213321568).

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

51949148832 is a wasteful number, since it uses less digits than its factorization.

51949148832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 398 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 51949148832 in words is "fifty-one billion, nine hundred forty-nine million, one hundred forty-eight thousand, eight hundred thirty-two".