51633232560 has 720 divisors, whose sum is σ = 219538073664. Its totient is φ = 10778406912.

The previous prime is 51633232513. The next prime is 51633232571. The reversal of 51633232560 is 6523233615.

51633232560 is a `hidden beast` number, since 5 + 1 + 63 + 3 + 2 + 32 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47239374 + ... + 47240466.

Almost surely, 2^51633232560 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 51633232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109769036832).

51633232560 is an abundant number, since it is smaller than the sum of its proper divisors (167904841104).

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

51633232560 is a wasteful number, since it uses less digits than its factorization.

51633232560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 51633232560 in words is "fifty-one billion, six hundred thirty-three million, two hundred thirty-two thousand, five hundred sixty".