51002106624 has 288 divisors, whose sum is σ = 174952010240. Its totient is φ = 14353625088.

The previous prime is 51002106583. The next prime is 51002106641. The reversal of 51002106624 is 42660120015.

51002106624 is a `hidden beast` number, since 5 + 10 + 0 + 21 + 0 + 6 + 624 = 666.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3233862 + ... + 3249594.

Almost surely, 2^51002106624 is an apocalyptic number.

51002106624 is a gapful number since it is divisible by the number (54) 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 51002106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87476005120).

51002106624 is an abundant number, since it is smaller than the sum of its proper divisors (123949903616).

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

51002106624 is a wasteful number, since it uses less digits than its factorization.

51002106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15812 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 51002106624 its reverse (42660120015), we get a palindrome (93662226639).

The spelling of 51002106624 in words is "fifty-one billion, two million, one hundred six thousand, six hundred twenty-four".