51438551040 has 864 divisors, whose sum is σ = 206107312320. Its totient is φ = 12230590464.

The previous prime is 51438551029. The next prime is 51438551051. The reversal of 51438551040 is 4015583415.

51438551040 is a `hidden beast` number, since 514 + 38 + 5 + 5 + 104 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51438551029) and next prime (51438551051).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 51438550986 and 51438551004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2707292151 + ... + 2707292169.

It is an arithmetic number, because the mean of its divisors is an integer number (238550130).

Almost surely, 2^51438551040 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 51438551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103053656160).

51438551040 is an abundant number, since it is smaller than the sum of its proper divisors (154668761280).

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

51438551040 is an frugal number, since it uses more digits than its factorization.

51438551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 51438551040 in words is "fifty-one billion, four hundred thirty-eight million, five hundred fifty-one thousand, forty".