51190216704 has 384 divisors, whose sum is σ = 167626368000. Its totient is φ = 15497256960.

The previous prime is 51190216699. The next prime is 51190216817. The reversal of 51190216704 is 40761209115.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49268217 + ... + 49269255.

It is an arithmetic number, because the mean of its divisors is an integer number (436527000).

Almost surely, 2^51190216704 is an apocalyptic number.

51190216704 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 51190216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83813184000).

51190216704 is an abundant number, since it is smaller than the sum of its proper divisors (116436151296).

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

51190216704 is an equidigital number, since it uses as much as digits as its factorization.

51190216704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 51190216704 in words is "fifty-one billion, one hundred ninety million, two hundred sixteen thousand, seven hundred four".