51154441632 has 288 divisors, whose sum is σ = 170266561920. Its totient is φ = 14265538560.

The previous prime is 51154441619. The next prime is 51154441691. The reversal of 51154441632 is 23614445115.

51154441632 is a `hidden beast` number, since 5 + 1 + 15 + 4 + 4 + 4 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22543794 + ... + 22546062.

It is an arithmetic number, because the mean of its divisors is an integer number (591203340).

Almost surely, 2^51154441632 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 51154441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85133280960).

51154441632 is an abundant number, since it is smaller than the sum of its proper divisors (119112120288).

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

51154441632 is a wasteful number, since it uses less digits than its factorization.

51154441632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2545 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 51154441632 its reverse (23614445115), we get a palindrome (74768886747).

The spelling of 51154441632 in words is "fifty-one billion, one hundred fifty-four million, four hundred forty-one thousand, six hundred thirty-two".