51535005408 has 192 divisors, whose sum is σ = 159698952000. Its totient is φ = 16137418752.

The previous prime is 51535005383. The next prime is 51535005409. The reversal of 51535005408 is 80450053515.

It is a happy number.

51535005408 is a `hidden beast` number, since 51 + 53 + 500 + 54 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51535005409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899278 + ... + 954866.

It is an arithmetic number, because the mean of its divisors is an integer number (831765375).

Almost surely, 2^51535005408 is an apocalyptic number.

51535005408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51535005408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79849476000).

51535005408 is an abundant number, since it is smaller than the sum of its proper divisors (108163946592).

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

51535005408 is a wasteful number, since it uses less digits than its factorization.

51535005408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55674 (or 55660 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 51535005408 in words is "fifty-one billion, five hundred thirty-five million, five thousand, four hundred eight".