51185084544 has 448 divisors, whose sum is σ = 170493310080. Its totient is φ = 15166310400.

The previous prime is 51185084543. The next prime is 51185084549. The reversal of 51185084544 is 44548058115.

51185084544 is a `hidden beast` number, since 51 + 1 + 8 + 50 + 8 + 4 + 544 = 666.

51185084544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51185084544.

It is not an unprimeable number, because it can be changed into a prime (51185084543) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48241774 + ... + 48242834.

Almost surely, 2^51185084544 is an apocalyptic number.

51185084544 is a gapful number since it is divisible by the number (54) 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 51185084544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85246655040).

51185084544 is an abundant number, since it is smaller than the sum of its proper divisors (119308225536).

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

51185084544 is a wasteful number, since it uses less digits than its factorization.

51185084544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 51185084544 in words is "fifty-one billion, one hundred eighty-five million, eighty-four thousand, five hundred forty-four".