51537733632 has 288 divisors, whose sum is σ = 185584875840. Its totient is φ = 13386055680.

The previous prime is 51537733607. The next prime is 51537733633. The reversal of 51537733632 is 23633773515.

51537733632 is a `hidden beast` number, since 5 + 1 + 5 + 3 + 7 + 7 + 3 + 3 + 632 = 666.

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

It is a super-2 number, since 2×51537733632² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51537733633) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1401108 + ... + 1437420.

It is an arithmetic number, because the mean of its divisors is an integer number (644391930).

Almost surely, 2^51537733632 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 51537733632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92792437920).

51537733632 is an abundant number, since it is smaller than the sum of its proper divisors (134047142208).

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

51537733632 is a wasteful number, since it uses less digits than its factorization.

51537733632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36359 (or 36336 counting only the distinct ones).

The product of its digits is 1190700, while the sum is 45.

The spelling of 51537733632 in words is "fifty-one billion, five hundred thirty-seven million, seven hundred thirty-three thousand, six hundred thirty-two".