51040485216 has 144 divisors (see below), whose sum is σ = 166875980544. Its totient is φ = 14495576832.

The previous prime is 51040485191. The next prime is 51040485269. The reversal of 51040485216 is 61258404015.

It is a happy number.

51040485216 is a `hidden beast` number, since 51 + 0 + 40 + 48 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51040485216² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 260871 + ... + 412473.

It is an arithmetic number, because the mean of its divisors is an integer number (1158860976).

Almost surely, 2^51040485216 is an apocalyptic number.

51040485216 is a gapful number since it is divisible by the number (56) 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 51040485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83437990272).

51040485216 is an abundant number, since it is smaller than the sum of its proper divisors (115835495328).

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

51040485216 is a wasteful number, since it uses less digits than its factorization.

51040485216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151793 (or 151782 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 51040485216 in words is "fifty-one billion, forty million, four hundred eighty-five thousand, two hundred sixteen".