51523879680 has 1440 divisors, whose sum is σ = 234012033024. Its totient is φ = 10534551552.

The previous prime is 51523879661. The next prime is 51523879697. The reversal of 51523879680 is 8697832515.

51523879680 is a `hidden beast` number, since 51 + 52 + 387 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 405699777 + ... + 405699903.

Almost surely, 2^51523879680 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 51523879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117006016512).

51523879680 is an abundant number, since it is smaller than the sum of its proper divisors (182488153344).

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

51523879680 is a wasteful number, since it uses less digits than its factorization.

51523879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 51523879680 in words is "fifty-one billion, five hundred twenty-three million, eight hundred seventy-nine thousand, six hundred eighty".