51153419088 has 120 divisors (see below), whose sum is σ = 147033792360. Its totient is φ = 16591749120.

The previous prime is 51153419081. The next prime is 51153419153. The reversal of 51153419088 is 88091435115.

51153419088 is a `hidden beast` number, since 5 + 1 + 153 + 419 + 0 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7661150784 + 43492268304 = 87528^2 + 208548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51153419081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2285520 + ... + 2307792.

It is an arithmetic number, because the mean of its divisors is an integer number (1225281603).

Almost surely, 2^51153419088 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 51153419088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73516896180).

51153419088 is an abundant number, since it is smaller than the sum of its proper divisors (95880373272).

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

51153419088 is a wasteful number, since it uses less digits than its factorization.

51153419088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22717 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 51153419088 in words is "fifty-one billion, one hundred fifty-three million, four hundred nineteen thousand, eighty-eight".