51975052976 has 240 divisors, whose sum is σ = 138294148608. Its totient is φ = 18346521600.

The previous prime is 51975052963. The next prime is 51975052993. The reversal of 51975052976 is 67925057915.

It is a happy number.

51975052976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×51975052976³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (56) 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 (56).

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, 10226756 + ... + 10231836.

Almost surely, 2^51975052976 is an apocalyptic number.

51975052976 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 51975052976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69147074304).

51975052976 is an abundant number, since it is smaller than the sum of its proper divisors (86319095632).

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

51975052976 is a wasteful number, since it uses less digits than its factorization.

51975052976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 56.

The spelling of 51975052976 in words is "fifty-one billion, nine hundred seventy-five million, fifty-two thousand, nine hundred seventy-six".