51354509976 has 1008 divisors, whose sum is σ = 200442253320. Its totient is φ = 12149222400.

The previous prime is 51354509939. The next prime is 51354509981. The reversal of 51354509976 is 67990545315.

51354509976 is a `hidden beast` number, since 5 + 1 + 3 + 545 + 0 + 9 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1656597081 + ... + 1656597111.

Almost surely, 2^51354509976 is an apocalyptic number.

51354509976 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 51354509976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100221126660).

51354509976 is an abundant number, since it is smaller than the sum of its proper divisors (149087743344).

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

51354509976 is a wasteful number, since it uses less digits than its factorization.

51354509976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 51354509976 in words is "fifty-one billion, three hundred fifty-four million, five hundred nine thousand, nine hundred seventy-six".