51009206976 has 1008 divisors, whose sum is σ = 200681295360. Its totient is φ = 12697896960.

The previous prime is 51009206947. The next prime is 51009206981. The reversal of 51009206976 is 67960290015.

It is a happy number.

51009206976 is a `hidden beast` number, since 510 + 0 + 9 + 2 + 0 + 69 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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, 188225721 + ... + 188225991.

Almost surely, 2^51009206976 is an apocalyptic number.

51009206976 is a gapful number since it is divisible by the number (56) 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 51009206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100340647680).

51009206976 is an abundant number, since it is smaller than the sum of its proper divisors (149672088384).

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

51009206976 is a wasteful number, since it uses less digits than its factorization.

51009206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 51009206976 in words is "fifty-one billion, nine million, two hundred six thousand, nine hundred seventy-six".