51183055535040 has 896 divisors, whose sum is σ = 223294109875200. Its totient is φ = 10850727444480.

The previous prime is 51183055535023. The next prime is 51183055535057. The reversal of 51183055535040 is 4053555038115.

51183055535040 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 3 + 0 + 5 + 553 + 50 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (51183055535023) and next prime (51183055535057).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22384714 + ... + 24565046.

It is an arithmetic number, because the mean of its divisors is an integer number (249212176200).

Almost surely, 2^{51183055535040} 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 51183055535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111647054937600).

51183055535040 is an abundant number, since it is smaller than the sum of its proper divisors (172111054340160).

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

51183055535040 is a wasteful number, since it uses less digits than its factorization.

51183055535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180402 (or 2180386 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 51183055535040 in words is "fifty-one trillion, one hundred eighty-three billion, fifty-five million, five hundred thirty-five thousand, forty".