51652631520 has 576 divisors, whose sum is σ = 212428210176. Its totient is φ = 11179192320.

The previous prime is 51652631519. The next prime is 51652631543. The reversal of 51652631520 is 2513625615.

51652631520 is a `hidden beast` number, since 5 + 16 + 5 + 2 + 631 + 5 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14684802 + ... + 14688318.

It is an arithmetic number, because the mean of its divisors is an integer number (368798976).

Almost surely, 2^51652631520 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 51652631520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106214105088).

51652631520 is an abundant number, since it is smaller than the sum of its proper divisors (160775578656).

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

51652631520 is a wasteful number, since it uses less digits than its factorization.

51652631520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 51652631520 in words is "fifty-one billion, six hundred fifty-two million, six hundred thirty-one thousand, five hundred twenty".