51633099648 has 512 divisors, whose sum is σ = 177254784000. Its totient is φ = 14663835648.

The previous prime is 51633099517. The next prime is 51633099673. The reversal of 51633099648 is 84699033615.

51633099648 is a `hidden beast` number, since 516 + 3 + 30 + 9 + 96 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 51633099594 and 51633099603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29966115 + ... + 29967837.

It is an arithmetic number, because the mean of its divisors is an integer number (346200750).

Almost surely, 2^51633099648 is an apocalyptic number.

51633099648 is a gapful number since it is divisible by the number (58) 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 51633099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88627392000).

51633099648 is an abundant number, since it is smaller than the sum of its proper divisors (125621684352).

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

51633099648 is a wasteful number, since it uses less digits than its factorization.

51633099648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 51633099648 in words is "fifty-one billion, six hundred thirty-three million, ninety-nine thousand, six hundred forty-eight".