51294974976 has 528 divisors, whose sum is σ = 179422006400. Its totient is φ = 14631321600.

The previous prime is 51294974911. The next prime is 51294974977. The reversal of 51294974976 is 67947949215.

51294974976 is a `hidden beast` number, since 51 + 2 + 9 + 4 + 97 + 497 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51294974977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85349076 + ... + 85349676.

Almost surely, 2^51294974976 is an apocalyptic number.

51294974976 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 51294974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89711003200).

51294974976 is an abundant number, since it is smaller than the sum of its proper divisors (128127031424).

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

51294974976 is an frugal number, since it uses more digits than its factorization.

51294974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 613 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 51294974976 in words is "fifty-one billion, two hundred ninety-four million, nine hundred seventy-four thousand, nine hundred seventy-six".