51633955498752 has 288 divisors, whose sum is σ = 166633770078720. Its totient is φ = 15640819200000.

The previous prime is 51633955498747. The next prime is 51633955498757. The reversal of 51633955498752 is 25789455933615.

51633955498752 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 3 + 9 + 5 + 549 + 8 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51633955498747) and next prime (51633955498757).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (51633955498757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205997502 + ... + 206248002.

It is an arithmetic number, because the mean of its divisors is an integer number (578589479440).

Almost surely, 2^{51633955498752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51633955498752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83316885039360).

51633955498752 is an abundant number, since it is smaller than the sum of its proper divisors (114999814579968).

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

51633955498752 is a wasteful number, since it uses less digits than its factorization.

51633955498752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253248 (or 253228 counting only the distinct ones).

The product of its digits is 1224720000, while the sum is 72.

The spelling of 51633955498752 in words is "fifty-one trillion, six hundred thirty-three billion, nine hundred fifty-five million, four hundred ninety-eight thousand, seven hundred fifty-two".