51009577560 has 192 divisors, whose sum is σ = 173355137280. Its totient is φ = 12983604480.

The previous prime is 51009577513. The next prime is 51009577603. The reversal of 51009577560 is 6577590015.

It is a happy number.

51009577560 is a `hidden beast` number, since 5 + 10 + 0 + 9 + 5 + 77 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4059207 + ... + 4071753.

It is an arithmetic number, because the mean of its divisors is an integer number (902891340).

Almost surely, 2^51009577560 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 51009577560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86677568640).

51009577560 is an abundant number, since it is smaller than the sum of its proper divisors (122345559720).

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

51009577560 is a wasteful number, since it uses less digits than its factorization.

51009577560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078 (or 13071 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The spelling of 51009577560 in words is "fifty-one billion, nine million, five hundred seventy-seven thousand, five hundred sixty".