51198723840 has 288 divisors, whose sum is σ = 180398534400. Its totient is φ = 12271452160.

The previous prime is 51198723817. The next prime is 51198723869. The reversal of 51198723840 is 4832789115.

51198723840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51198723840.

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, 3752551 + ... + 3766169.

It is an arithmetic number, because the mean of its divisors is an integer number (626383800).

Almost surely, 2^51198723840 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 51198723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90199267200).

51198723840 is an abundant number, since it is smaller than the sum of its proper divisors (129199810560).

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

51198723840 is a wasteful number, since it uses less digits than its factorization.

51198723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13743 (or 13729 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 51198723840 in words is "fifty-one billion, one hundred ninety-eight million, seven hundred twenty-three thousand, eight hundred forty".