51719720976 has 960 divisors, whose sum is σ = 202163060736. Its totient is φ = 11932876800.

The previous prime is 51719720951. The next prime is 51719720981. The reversal of 51719720976 is 67902791715.

It is a happy number.

51719720976 is a `hidden beast` number, since 517 + 19 + 7 + 20 + 97 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 309698845 + ... + 309699011.

Almost surely, 2^51719720976 is an apocalyptic number.

51719720976 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 51719720976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101081530368).

51719720976 is an abundant number, since it is smaller than the sum of its proper divisors (150443339760).

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

51719720976 is a wasteful number, since it uses less digits than its factorization.

51719720976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 51719720976 in words is "fifty-one billion, seven hundred nineteen million, seven hundred twenty thousand, nine hundred seventy-six".