51819623856 has 1920 divisors, whose sum is σ = 230835225600. Its totient is φ = 10868981760.

The previous prime is 51819623813. The next prime is 51819623881. The reversal of 51819623856 is 65832691815.

51819623856 is a `hidden beast` number, since 5 + 1 + 8 + 1 + 9 + 623 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3110400) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 977728726 + ... + 977728778.

It is an arithmetic number, because the mean of its divisors is an integer number (120226680).

Almost surely, 2^51819623856 is an apocalyptic number.

51819623856 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 51819623856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115417612800).

51819623856 is an abundant number, since it is smaller than the sum of its proper divisors (179015601744).

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

51819623856 is a wasteful number, since it uses less digits than its factorization.

51819623856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 51819623856 in words is "fifty-one billion, eight hundred nineteen million, six hundred twenty-three thousand, eight hundred fifty-six".