51642915648000 has 960 divisors, whose sum is σ = 181965465107712. Its totient is φ = 12992436633600.

The previous prime is 51642915647971. The next prime is 51642915648029. The reversal of 51642915648000 is 84651924615.

It is an interprime number because it is at equal distance from previous prime (51642915647971) and next prime (51642915648029).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×51642915648000³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18229054584 + ... + 18229057416.

Almost surely, 2^{51642915648000} is an apocalyptic number.

51642915648000 is a gapful number since it is divisible by the number (50) 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 51642915648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90982732553856).

51642915648000 is an abundant number, since it is smaller than the sum of its proper divisors (130322549459712).

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

51642915648000 is a wasteful number, since it uses less digits than its factorization.

51642915648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 51642915648000 in words is "fifty-one trillion, six hundred forty-two billion, nine hundred fifteen million, six hundred forty-eight thousand".