51672142080 has 648 divisors, whose sum is σ = 200964673728. Its totient is φ = 12706357248.

The previous prime is 51672142069. The next prime is 51672142103. The reversal of 51672142080 is 8024127615.

51672142080 is a `hidden beast` number, since 516 + 7 + 21 + 42 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52565269 + ... + 52566251.

Almost surely, 2^51672142080 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 51672142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100482336864).

51672142080 is an abundant number, since it is smaller than the sum of its proper divisors (149292531648).

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

51672142080 is an equidigital number, since it uses as much as digits as its factorization.

51672142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 51672142080 its reverse (8024127615), we get a palindrome (59696269695).

The spelling of 51672142080 in words is "fifty-one billion, six hundred seventy-two million, one hundred forty-two thousand, eighty".