51113635440 has 160 divisors (see below), whose sum is σ = 181160547840. Its totient is φ = 11678456832.

The previous prime is 51113635409. The next prime is 51113635477. The reversal of 51113635440 is 4453631115.

It is a happy number.

It is a super-2 number, since 2×51113635440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5941222 + ... + 5949818.

It is an arithmetic number, because the mean of its divisors is an integer number (1132253424).

Almost surely, 2^51113635440 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 51113635440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90580273920).

51113635440 is an abundant number, since it is smaller than the sum of its proper divisors (130046912400).

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

51113635440 is a wasteful number, since it uses less digits than its factorization.

51113635440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12159 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 51113635440 in words is "fifty-one billion, one hundred thirteen million, six hundred thirty-five thousand, four hundred forty".